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Finding the Fourth Proportional to 10,507.91, 15,758.70 and 8,654.42

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Solution

The fourth proportional to 10,507.91, 15,758.70 and 8,654.42 is: 12,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.91 : 15,758.70 = 8,654.42 : x
  2. Step 2: Convert to fraction form
    10,507.91/15,758.70 = 8,654.42/x
  3. Step 3: Cross multiply
    10,507.91x = 15,758.70 × 8,654.42
  4. Step 4: Simplify right side
    10,507.91x = 136,382,329.66
  5. Step 5: Solve for x
    x = 136,382,329.66/10,507.91
  6. Step 6: Final answer
    x = 12,979.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.