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Finding the Fourth Proportional to 5,623.46, 7,761.21 and 5,451.38

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Solution

The fourth proportional to 5,623.46, 7,761.21 and 5,451.38 is: 7,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.46 : 7,761.21 = 5,451.38 : x
  2. Step 2: Convert to fraction form
    5,623.46/7,761.21 = 5,451.38/x
  3. Step 3: Cross multiply
    5,623.46x = 7,761.21 × 5,451.38
  4. Step 4: Simplify right side
    5,623.46x = 42,309,304.97
  5. Step 5: Solve for x
    x = 42,309,304.97/5,623.46
  6. Step 6: Final answer
    x = 7,523.71

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.