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Finding the Fourth Proportional to 7,641.62, 11,464.16 and 2,711.25

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Solution

The fourth proportional to 7,641.62, 11,464.16 and 2,711.25 is: 4,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.62 : 11,464.16 = 2,711.25 : x
  2. Step 2: Convert to fraction form
    7,641.62/11,464.16 = 2,711.25/x
  3. Step 3: Cross multiply
    7,641.62x = 11,464.16 × 2,711.25
  4. Step 4: Simplify right side
    7,641.62x = 31,082,233.23
  5. Step 5: Solve for x
    x = 31,082,233.23/7,641.62
  6. Step 6: Final answer
    x = 4,067.49

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Half scale
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Double scale
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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.