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Finding the Fourth Proportional to 15,728.63, 21,706.11 and 8,654.90

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Solution

The fourth proportional to 15,728.63, 21,706.11 and 8,654.90 is: 11,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.63 : 21,706.11 = 8,654.90 : x
  2. Step 2: Convert to fraction form
    15,728.63/21,706.11 = 8,654.90/x
  3. Step 3: Cross multiply
    15,728.63x = 21,706.11 × 8,654.90
  4. Step 4: Simplify right side
    15,728.63x = 187,864,102.91
  5. Step 5: Solve for x
    x = 187,864,102.91/15,728.63
  6. Step 6: Final answer
    x = 11,944.09

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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.