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Finding the Fourth Proportional to 25,451.40, 38,149.41 and 21,742.41

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Solution

The fourth proportional to 25,451.40, 38,149.41 and 21,742.41 is: 32,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,451.40 : 38,149.41 = 21,742.41 : x
  2. Step 2: Convert to fraction form
    25,451.40/38,149.41 = 21,742.41/x
  3. Step 3: Cross multiply
    25,451.40x = 38,149.41 × 21,742.41
  4. Step 4: Simplify right side
    25,451.40x = 829,460,113.48
  5. Step 5: Solve for x
    x = 829,460,113.48/25,451.40
  6. Step 6: Final answer
    x = 32,589.96

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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.