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Finding the Fourth Proportional to 15,849.92, 21,872 and 8,776.16

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Solution

The fourth proportional to 15,849.92, 21,872 and 8,776.16 is: 12,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.92 : 21,872 = 8,776.16 : x
  2. Step 2: Convert to fraction form
    15,849.92/21,872 = 8,776.16/x
  3. Step 3: Cross multiply
    15,849.92x = 21,872 × 8,776.16
  4. Step 4: Simplify right side
    15,849.92x = 191,952,171.52
  5. Step 5: Solve for x
    x = 191,952,171.52/15,849.92
  6. Step 6: Final answer
    x = 12,110.61

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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.