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Finding the Fourth Proportional to 3,647.88, 5,463 and 3,587.40

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Solution

The fourth proportional to 3,647.88, 5,463 and 3,587.40 is: 5,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.88 : 5,463 = 3,587.40 : x
  2. Step 2: Convert to fraction form
    3,647.88/5,463 = 3,587.40/x
  3. Step 3: Cross multiply
    3,647.88x = 5,463 × 3,587.40
  4. Step 4: Simplify right side
    3,647.88x = 19,597,966.20
  5. Step 5: Solve for x
    x = 19,597,966.20/3,647.88
  6. Step 6: Final answer
    x = 5,372.43

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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.