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Finding the Fourth Proportional to 30,009.35, 45,016.63 and 7,822.78

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Solution

The fourth proportional to 30,009.35, 45,016.63 and 7,822.78 is: 11,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.35 : 45,016.63 = 7,822.78 : x
  2. Step 2: Convert to fraction form
    30,009.35/45,016.63 = 7,822.78/x
  3. Step 3: Cross multiply
    30,009.35x = 45,016.63 × 7,822.78
  4. Step 4: Simplify right side
    30,009.35x = 352,155,060.73
  5. Step 5: Solve for x
    x = 352,155,060.73/30,009.35
  6. Step 6: Final answer
    x = 11,734.84

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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.