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Finding the Fourth Proportional to 6,763, 10,132.39 and 4,129.15

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Solution

The fourth proportional to 6,763, 10,132.39 and 4,129.15 is: 6,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763 : 10,132.39 = 4,129.15 : x
  2. Step 2: Convert to fraction form
    6,763/10,132.39 = 4,129.15/x
  3. Step 3: Cross multiply
    6,763x = 10,132.39 × 4,129.15
  4. Step 4: Simplify right side
    6,763x = 41,838,158.17
  5. Step 5: Solve for x
    x = 41,838,158.17/6,763
  6. Step 6: Final answer
    x = 6,186.33

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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.