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Finding the Fourth Proportional to 3,142.76, 4,337 and 2,397.56

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Solution

The fourth proportional to 3,142.76, 4,337 and 2,397.56 is: 3,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.76 : 4,337 = 2,397.56 : x
  2. Step 2: Convert to fraction form
    3,142.76/4,337 = 2,397.56/x
  3. Step 3: Cross multiply
    3,142.76x = 4,337 × 2,397.56
  4. Step 4: Simplify right side
    3,142.76x = 10,398,217.72
  5. Step 5: Solve for x
    x = 10,398,217.72/3,142.76
  6. Step 6: Final answer
    x = 3,308.63

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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.