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Finding the Fourth Proportional to 9,507.70, 14,249.10 and 5,115.70

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Solution

The fourth proportional to 9,507.70, 14,249.10 and 5,115.70 is: 7,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.70 : 14,249.10 = 5,115.70 : x
  2. Step 2: Convert to fraction form
    9,507.70/14,249.10 = 5,115.70/x
  3. Step 3: Cross multiply
    9,507.70x = 14,249.10 × 5,115.70
  4. Step 4: Simplify right side
    9,507.70x = 72,894,120.87
  5. Step 5: Solve for x
    x = 72,894,120.87/9,507.70
  6. Step 6: Final answer
    x = 7,666.85

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Half scale
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Double scale
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Similar ratio
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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.