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Finding the Fourth Proportional to 16,781, 25,174.38 and 5,095.40

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Solution

The fourth proportional to 16,781, 25,174.38 and 5,095.40 is: 7,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781 : 25,174.38 = 5,095.40 : x
  2. Step 2: Convert to fraction form
    16,781/25,174.38 = 5,095.40/x
  3. Step 3: Cross multiply
    16,781x = 25,174.38 × 5,095.40
  4. Step 4: Simplify right side
    16,781x = 128,273,535.85
  5. Step 5: Solve for x
    x = 128,273,535.85/16,781
  6. Step 6: Final answer
    x = 7,643.97

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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.