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Finding the Fourth Proportional to 2,691.44, 3,715.22 and 2,411.20

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Solution

The fourth proportional to 2,691.44, 3,715.22 and 2,411.20 is: 3,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.44 : 3,715.22 = 2,411.20 : x
  2. Step 2: Convert to fraction form
    2,691.44/3,715.22 = 2,411.20/x
  3. Step 3: Cross multiply
    2,691.44x = 3,715.22 × 2,411.20
  4. Step 4: Simplify right side
    2,691.44x = 8,958,138.46
  5. Step 5: Solve for x
    x = 8,958,138.46/2,691.44
  6. Step 6: Final answer
    x = 3,328.38

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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.