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Finding the Fourth Proportional to 17,129.66, 25,707.47 and 7,275.85

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Solution

The fourth proportional to 17,129.66, 25,707.47 and 7,275.85 is: 10,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.66 : 25,707.47 = 7,275.85 : x
  2. Step 2: Convert to fraction form
    17,129.66/25,707.47 = 7,275.85/x
  3. Step 3: Cross multiply
    17,129.66x = 25,707.47 × 7,275.85
  4. Step 4: Simplify right side
    17,129.66x = 187,043,594.95
  5. Step 5: Solve for x
    x = 187,043,594.95/17,129.66
  6. Step 6: Final answer
    x = 10,919.29

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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.