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Finding the Fourth Proportional to 15,737.84, 21,718.23 and 8,664.11

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Solution

The fourth proportional to 15,737.84, 21,718.23 and 8,664.11 is: 11,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.84 : 21,718.23 = 8,664.11 : x
  2. Step 2: Convert to fraction form
    15,737.84/21,718.23 = 8,664.11/x
  3. Step 3: Cross multiply
    15,737.84x = 21,718.23 × 8,664.11
  4. Step 4: Simplify right side
    15,737.84x = 188,169,133.73
  5. Step 5: Solve for x
    x = 188,169,133.73/15,737.84
  6. Step 6: Final answer
    x = 11,956.48

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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.