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Finding the Fourth Proportional to 5,135.90, 7,691.70 and 5,135.90

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Solution

The fourth proportional to 5,135.90, 7,691.70 and 5,135.90 is: 7,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.90 : 7,691.70 = 5,135.90 : x
  2. Step 2: Convert to fraction form
    5,135.90/7,691.70 = 5,135.90/x
  3. Step 3: Cross multiply
    5,135.90x = 7,691.70 × 5,135.90
  4. Step 4: Simplify right side
    5,135.90x = 39,503,802.03
  5. Step 5: Solve for x
    x = 39,503,802.03/5,135.90
  6. Step 6: Final answer
    x = 7,691.70

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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.