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Finding the Fourth Proportional to 18,642, 25,726.05 and 10,144.20

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Solution

The fourth proportional to 18,642, 25,726.05 and 10,144.20 is: 13,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 25,726.05 = 10,144.20 : x
  2. Step 2: Convert to fraction form
    18,642/25,726.05 = 10,144.20/x
  3. Step 3: Cross multiply
    18,642x = 25,726.05 × 10,144.20
  4. Step 4: Simplify right side
    18,642x = 260,970,196.41
  5. Step 5: Solve for x
    x = 260,970,196.41/18,642
  6. Step 6: Final answer
    x = 13,999.04

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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.