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Finding the Fourth Proportional to 10,324.98, 15,489.63 and 5,128.02

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Solution

The fourth proportional to 10,324.98, 15,489.63 and 5,128.02 is: 7,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.98 : 15,489.63 = 5,128.02 : x
  2. Step 2: Convert to fraction form
    10,324.98/15,489.63 = 5,128.02/x
  3. Step 3: Cross multiply
    10,324.98x = 15,489.63 × 5,128.02
  4. Step 4: Simplify right side
    10,324.98x = 79,431,132.43
  5. Step 5: Solve for x
    x = 79,431,132.43/10,324.98
  6. Step 6: Final answer
    x = 7,693.10

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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.