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Finding the Fourth Proportional to 12,806.10, 17,672.51 and 7,141.20

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Solution

The fourth proportional to 12,806.10, 17,672.51 and 7,141.20 is: 9,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.10 : 17,672.51 = 7,141.20 : x
  2. Step 2: Convert to fraction form
    12,806.10/17,672.51 = 7,141.20/x
  3. Step 3: Cross multiply
    12,806.10x = 17,672.51 × 7,141.20
  4. Step 4: Simplify right side
    12,806.10x = 126,202,892.71
  5. Step 5: Solve for x
    x = 126,202,892.71/12,806.10
  6. Step 6: Final answer
    x = 9,854.90

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1.5x scale

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.