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Finding the Fourth Proportional to 6,867.80, 10,301.70 and 5,139.80

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Solution

The fourth proportional to 6,867.80, 10,301.70 and 5,139.80 is: 7,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.80 : 10,301.70 = 5,139.80 : x
  2. Step 2: Convert to fraction form
    6,867.80/10,301.70 = 5,139.80/x
  3. Step 3: Cross multiply
    6,867.80x = 10,301.70 × 5,139.80
  4. Step 4: Simplify right side
    6,867.80x = 52,948,677.66
  5. Step 5: Solve for x
    x = 52,948,677.66/6,867.80
  6. Step 6: Final answer
    x = 7,709.70

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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.