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Finding the Fourth Proportional to 21,761.52, 32,647.90 and 9,275.28

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Solution

The fourth proportional to 21,761.52, 32,647.90 and 9,275.28 is: 13,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.52 : 32,647.90 = 9,275.28 : x
  2. Step 2: Convert to fraction form
    21,761.52/32,647.90 = 9,275.28/x
  3. Step 3: Cross multiply
    21,761.52x = 32,647.90 × 9,275.28
  4. Step 4: Simplify right side
    21,761.52x = 302,818,413.91
  5. Step 5: Solve for x
    x = 302,818,413.91/21,761.52
  6. Step 6: Final answer
    x = 13,915.32

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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.