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Finding the Fourth Proportional to 17,151.80, 25,742.10 and 7,806.20

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Solution

The fourth proportional to 17,151.80, 25,742.10 and 7,806.20 is: 11,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,151.80 : 25,742.10 = 7,806.20 : x
  2. Step 2: Convert to fraction form
    17,151.80/25,742.10 = 7,806.20/x
  3. Step 3: Cross multiply
    17,151.80x = 25,742.10 × 7,806.20
  4. Step 4: Simplify right side
    17,151.80x = 200,947,981.02
  5. Step 5: Solve for x
    x = 200,947,981.02/17,151.80
  6. Step 6: Final answer
    x = 11,715.85

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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.