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Finding the Fourth Proportional to 15,732.54, 21,710.41 and 8,658.95

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Solution

The fourth proportional to 15,732.54, 21,710.41 and 8,658.95 is: 11,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.54 : 21,710.41 = 8,658.95 : x
  2. Step 2: Convert to fraction form
    15,732.54/21,710.41 = 8,658.95/x
  3. Step 3: Cross multiply
    15,732.54x = 21,710.41 × 8,658.95
  4. Step 4: Simplify right side
    15,732.54x = 187,989,224.47
  5. Step 5: Solve for x
    x = 187,989,224.47/15,732.54
  6. Step 6: Final answer
    x = 11,949.07

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