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Finding the Fourth Proportional to 15,227.27, 21,000 and 9,562.54

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Solution

The fourth proportional to 15,227.27, 21,000 and 9,562.54 is: 13,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.27 : 21,000 = 9,562.54 : x
  2. Step 2: Convert to fraction form
    15,227.27/21,000 = 9,562.54/x
  3. Step 3: Cross multiply
    15,227.27x = 21,000 × 9,562.54
  4. Step 4: Simplify right side
    15,227.27x = 200,813,287.50
  5. Step 5: Solve for x
    x = 200,813,287.50/15,227.27
  6. Step 6: Final answer
    x = 13,187.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.