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Finding the Fourth Proportional to 18,801.50, 25,946.92 and 10,418

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Solution

The fourth proportional to 18,801.50, 25,946.92 and 10,418 is: 14,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801.50 : 25,946.92 = 10,418 : x
  2. Step 2: Convert to fraction form
    18,801.50/25,946.92 = 10,418/x
  3. Step 3: Cross multiply
    18,801.50x = 25,946.92 × 10,418
  4. Step 4: Simplify right side
    18,801.50x = 270,315,012.56
  5. Step 5: Solve for x
    x = 270,315,012.56/18,801.50
  6. Step 6: Final answer
    x = 14,377.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.