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Finding the Fourth Proportional to 3,614.20, 5,385.20 and 3,455

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Solution

The fourth proportional to 3,614.20, 5,385.20 and 3,455 is: 5,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.20 : 5,385.20 = 3,455 : x
  2. Step 2: Convert to fraction form
    3,614.20/5,385.20 = 3,455/x
  3. Step 3: Cross multiply
    3,614.20x = 5,385.20 × 3,455
  4. Step 4: Simplify right side
    3,614.20x = 18,605,866
  5. Step 5: Solve for x
    x = 18,605,866/3,614.20
  6. Step 6: Final answer
    x = 5,147.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.