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Finding the Fourth Proportional to 5,402.07, 8,103.02 and 3,294.31

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Solution

The fourth proportional to 5,402.07, 8,103.02 and 3,294.31 is: 4,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.07 : 8,103.02 = 3,294.31 : x
  2. Step 2: Convert to fraction form
    5,402.07/8,103.02 = 3,294.31/x
  3. Step 3: Cross multiply
    5,402.07x = 8,103.02 × 3,294.31
  4. Step 4: Simplify right side
    5,402.07x = 26,693,853.47
  5. Step 5: Solve for x
    x = 26,693,853.47/5,402.07
  6. Step 6: Final answer
    x = 4,941.42

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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.