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Finding the Fourth Proportional to 9,115.64, 12,573.87 and 5,572.70

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Solution

The fourth proportional to 9,115.64, 12,573.87 and 5,572.70 is: 7,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.64 : 12,573.87 = 5,572.70 : x
  2. Step 2: Convert to fraction form
    9,115.64/12,573.87 = 5,572.70/x
  3. Step 3: Cross multiply
    9,115.64x = 12,573.87 × 5,572.70
  4. Step 4: Simplify right side
    9,115.64x = 70,070,405.35
  5. Step 5: Solve for x
    x = 70,070,405.35/9,115.64
  6. Step 6: Final answer
    x = 7,686.83

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Half scale
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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.