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Finding the Fourth Proportional to 15,686.92, 21,658.08 and 9,724.96

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Solution

The fourth proportional to 15,686.92, 21,658.08 and 9,724.96 is: 13,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.92 : 21,658.08 = 9,724.96 : x
  2. Step 2: Convert to fraction form
    15,686.92/21,658.08 = 9,724.96/x
  3. Step 3: Cross multiply
    15,686.92x = 21,658.08 × 9,724.96
  4. Step 4: Simplify right side
    15,686.92x = 210,623,961.68
  5. Step 5: Solve for x
    x = 210,623,961.68/15,686.92
  6. Step 6: Final answer
    x = 13,426.73

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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.