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Finding the Fourth Proportional to 5,385.98, 7,434 and 3,291.86

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Solution

The fourth proportional to 5,385.98, 7,434 and 3,291.86 is: 4,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.98 : 7,434 = 3,291.86 : x
  2. Step 2: Convert to fraction form
    5,385.98/7,434 = 3,291.86/x
  3. Step 3: Cross multiply
    5,385.98x = 7,434 × 3,291.86
  4. Step 4: Simplify right side
    5,385.98x = 24,471,687.24
  5. Step 5: Solve for x
    x = 24,471,687.24/5,385.98
  6. Step 6: Final answer
    x = 4,543.59

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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.