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Finding the Fourth Proportional to 15,737.40, 21,715.74 and 8,663.40

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Solution

The fourth proportional to 15,737.40, 21,715.74 and 8,663.40 is: 11,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.40 : 21,715.74 = 8,663.40 : x
  2. Step 2: Convert to fraction form
    15,737.40/21,715.74 = 8,663.40/x
  3. Step 3: Cross multiply
    15,737.40x = 21,715.74 × 8,663.40
  4. Step 4: Simplify right side
    15,737.40x = 188,132,141.92
  5. Step 5: Solve for x
    x = 188,132,141.92/15,737.40
  6. Step 6: Final answer
    x = 11,954.46

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1.5x scale

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.