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Finding the Fourth Proportional to 17,082.69, 25,642.19 and 15,120.78

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Solution

The fourth proportional to 17,082.69, 25,642.19 and 15,120.78 is: 22,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.69 : 25,642.19 = 15,120.78 : x
  2. Step 2: Convert to fraction form
    17,082.69/25,642.19 = 15,120.78/x
  3. Step 3: Cross multiply
    17,082.69x = 25,642.19 × 15,120.78
  4. Step 4: Simplify right side
    17,082.69x = 387,729,913.71
  5. Step 5: Solve for x
    x = 387,729,913.71/17,082.69
  6. Step 6: Final answer
    x = 22,697.24

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1.5x scale

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.