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Finding the Fourth Proportional to 3,866, 5,337.40 and 2,542

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Solution

The fourth proportional to 3,866, 5,337.40 and 2,542 is: 3,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866 : 5,337.40 = 2,542 : x
  2. Step 2: Convert to fraction form
    3,866/5,337.40 = 2,542/x
  3. Step 3: Cross multiply
    3,866x = 5,337.40 × 2,542
  4. Step 4: Simplify right side
    3,866x = 13,567,670.80
  5. Step 5: Solve for x
    x = 13,567,670.80/3,866
  6. Step 6: Final answer
    x = 3,509.49

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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.