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Finding the Fourth Proportional to 15,776.91, 21,771.86 and 8,972.17

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Solution

The fourth proportional to 15,776.91, 21,771.86 and 8,972.17 is: 12,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.91 : 21,771.86 = 8,972.17 : x
  2. Step 2: Convert to fraction form
    15,776.91/21,771.86 = 8,972.17/x
  3. Step 3: Cross multiply
    15,776.91x = 21,771.86 × 8,972.17
  4. Step 4: Simplify right side
    15,776.91x = 195,340,729.85
  5. Step 5: Solve for x
    x = 195,340,729.85/15,776.91
  6. Step 6: Final answer
    x = 12,381.43

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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.