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Finding the Fourth Proportional to 16,861, 25,291.38 and 4,381

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Solution

The fourth proportional to 16,861, 25,291.38 and 4,381 is: 6,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861 : 25,291.38 = 4,381 : x
  2. Step 2: Convert to fraction form
    16,861/25,291.38 = 4,381/x
  3. Step 3: Cross multiply
    16,861x = 25,291.38 × 4,381
  4. Step 4: Simplify right side
    16,861x = 110,801,535.78
  5. Step 5: Solve for x
    x = 110,801,535.78/16,861
  6. Step 6: Final answer
    x = 6,571.47

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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.