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Finding the Fourth Proportional to 15,761.25, 21,750.53 and 8,687.82

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Solution

The fourth proportional to 15,761.25, 21,750.53 and 8,687.82 is: 11,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.25 : 21,750.53 = 8,687.82 : x
  2. Step 2: Convert to fraction form
    15,761.25/21,750.53 = 8,687.82/x
  3. Step 3: Cross multiply
    15,761.25x = 21,750.53 × 8,687.82
  4. Step 4: Simplify right side
    15,761.25x = 188,964,727.67
  5. Step 5: Solve for x
    x = 188,964,727.67/15,761.25
  6. Step 6: Final answer
    x = 11,989.20

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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.