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Finding the Fourth Proportional to 6,696.68, 9,242.07 and 3,902

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Solution

The fourth proportional to 6,696.68, 9,242.07 and 3,902 is: 5,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.68 : 9,242.07 = 3,902 : x
  2. Step 2: Convert to fraction form
    6,696.68/9,242.07 = 3,902/x
  3. Step 3: Cross multiply
    6,696.68x = 9,242.07 × 3,902
  4. Step 4: Simplify right side
    6,696.68x = 36,062,557.14
  5. Step 5: Solve for x
    x = 36,062,557.14/6,696.68
  6. Step 6: Final answer
    x = 5,385.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.