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Finding the Fourth Proportional to 5,398.55, 8,077.62 and 3,842.13

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Solution

The fourth proportional to 5,398.55, 8,077.62 and 3,842.13 is: 5,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.55 : 8,077.62 = 3,842.13 : x
  2. Step 2: Convert to fraction form
    5,398.55/8,077.62 = 3,842.13/x
  3. Step 3: Cross multiply
    5,398.55x = 8,077.62 × 3,842.13
  4. Step 4: Simplify right side
    5,398.55x = 31,035,310.83
  5. Step 5: Solve for x
    x = 31,035,310.83/5,398.55
  6. Step 6: Final answer
    x = 5,748.82

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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.