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Finding the Fourth Proportional to 15,140.68, 22,691.80 and 6,811.80

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Solution

The fourth proportional to 15,140.68, 22,691.80 and 6,811.80 is: 10,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.68 : 22,691.80 = 6,811.80 : x
  2. Step 2: Convert to fraction form
    15,140.68/22,691.80 = 6,811.80/x
  3. Step 3: Cross multiply
    15,140.68x = 22,691.80 × 6,811.80
  4. Step 4: Simplify right side
    15,140.68x = 154,572,003.24
  5. Step 5: Solve for x
    x = 154,572,003.24/15,140.68
  6. Step 6: Final answer
    x = 10,209.05

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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.