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Finding the Fourth Proportional to 3,691.40, 5,205.45 and 3,691.40

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Solution

The fourth proportional to 3,691.40, 5,205.45 and 3,691.40 is: 5,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.40 : 5,205.45 = 3,691.40 : x
  2. Step 2: Convert to fraction form
    3,691.40/5,205.45 = 3,691.40/x
  3. Step 3: Cross multiply
    3,691.40x = 5,205.45 × 3,691.40
  4. Step 4: Simplify right side
    3,691.40x = 19,215,398.13
  5. Step 5: Solve for x
    x = 19,215,398.13/3,691.40
  6. Step 6: Final answer
    x = 5,205.45

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