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Finding the Fourth Proportional to 5,393.80, 8,092.05 and 4,287.40

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Solution

The fourth proportional to 5,393.80, 8,092.05 and 4,287.40 is: 6,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.80 : 8,092.05 = 4,287.40 : x
  2. Step 2: Convert to fraction form
    5,393.80/8,092.05 = 4,287.40/x
  3. Step 3: Cross multiply
    5,393.80x = 8,092.05 × 4,287.40
  4. Step 4: Simplify right side
    5,393.80x = 34,693,855.17
  5. Step 5: Solve for x
    x = 34,693,855.17/5,393.80
  6. Step 6: Final answer
    x = 6,432.17

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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.