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Finding the Fourth Proportional to 15,182.56, 22,784.16 and 9,321.28

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Solution

The fourth proportional to 15,182.56, 22,784.16 and 9,321.28 is: 13,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.56 : 22,784.16 = 9,321.28 : x
  2. Step 2: Convert to fraction form
    15,182.56/22,784.16 = 9,321.28/x
  3. Step 3: Cross multiply
    15,182.56x = 22,784.16 × 9,321.28
  4. Step 4: Simplify right side
    15,182.56x = 212,377,534.92
  5. Step 5: Solve for x
    x = 212,377,534.92/15,182.56
  6. Step 6: Final answer
    x = 13,988.26

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