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Finding the Fourth Proportional to 17,143.68, 25,715.04 and 5,456.64

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Solution

The fourth proportional to 17,143.68, 25,715.04 and 5,456.64 is: 8,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.68 : 25,715.04 = 5,456.64 : x
  2. Step 2: Convert to fraction form
    17,143.68/25,715.04 = 5,456.64/x
  3. Step 3: Cross multiply
    17,143.68x = 25,715.04 × 5,456.64
  4. Step 4: Simplify right side
    17,143.68x = 140,317,715.87
  5. Step 5: Solve for x
    x = 140,317,715.87/17,143.68
  6. Step 6: Final answer
    x = 8,184.81

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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.