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Finding the Fourth Proportional to 30,009.83, 45,014.77 and 7,823.15

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Solution

The fourth proportional to 30,009.83, 45,014.77 and 7,823.15 is: 11,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.83 : 45,014.77 = 7,823.15 : x
  2. Step 2: Convert to fraction form
    30,009.83/45,014.77 = 7,823.15/x
  3. Step 3: Cross multiply
    30,009.83x = 45,014.77 × 7,823.15
  4. Step 4: Simplify right side
    30,009.83x = 352,157,258.81
  5. Step 5: Solve for x
    x = 352,157,258.81/30,009.83
  6. Step 6: Final answer
    x = 11,734.73

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.