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Finding the Fourth Proportional to 25,638.80, 38,451 and 12,491.60

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Solution

The fourth proportional to 25,638.80, 38,451 and 12,491.60 is: 18,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.80 : 38,451 = 12,491.60 : x
  2. Step 2: Convert to fraction form
    25,638.80/38,451 = 12,491.60/x
  3. Step 3: Cross multiply
    25,638.80x = 38,451 × 12,491.60
  4. Step 4: Simplify right side
    25,638.80x = 480,314,511.60
  5. Step 5: Solve for x
    x = 480,314,511.60/25,638.80
  6. Step 6: Final answer
    x = 18,733.89

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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.