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Finding the Fourth Proportional to 5,402.25, 8,103.29 and 3,294.49

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Solution

The fourth proportional to 5,402.25, 8,103.29 and 3,294.49 is: 4,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.25 : 8,103.29 = 3,294.49 : x
  2. Step 2: Convert to fraction form
    5,402.25/8,103.29 = 3,294.49/x
  3. Step 3: Cross multiply
    5,402.25x = 8,103.29 × 3,294.49
  4. Step 4: Simplify right side
    5,402.25x = 26,696,246.50
  5. Step 5: Solve for x
    x = 26,696,246.50/5,402.25
  6. Step 6: Final answer
    x = 4,941.69

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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.