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Finding the Fourth Proportional to 6,686.80, 10,039.40 and 3,402.11

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Solution

The fourth proportional to 6,686.80, 10,039.40 and 3,402.11 is: 5,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.80 : 10,039.40 = 3,402.11 : x
  2. Step 2: Convert to fraction form
    6,686.80/10,039.40 = 3,402.11/x
  3. Step 3: Cross multiply
    6,686.80x = 10,039.40 × 3,402.11
  4. Step 4: Simplify right side
    6,686.80x = 34,155,143.13
  5. Step 5: Solve for x
    x = 34,155,143.13/6,686.80
  6. Step 6: Final answer
    x = 5,107.85

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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.