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Finding the Fourth Proportional to 30,015.12, 45,022.68 and 7,828.44

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Solution

The fourth proportional to 30,015.12, 45,022.68 and 7,828.44 is: 11,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015.12 : 45,022.68 = 7,828.44 : x
  2. Step 2: Convert to fraction form
    30,015.12/45,022.68 = 7,828.44/x
  3. Step 3: Cross multiply
    30,015.12x = 45,022.68 × 7,828.44
  4. Step 4: Simplify right side
    30,015.12x = 352,457,349.02
  5. Step 5: Solve for x
    x = 352,457,349.02/30,015.12
  6. Step 6: Final answer
    x = 11,742.66

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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.