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Finding the Fourth Proportional to 25,750, 38,630.42 and 8,884.54

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Solution

The fourth proportional to 25,750, 38,630.42 and 8,884.54 is: 13,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 38,630.42 = 8,884.54 : x
  2. Step 2: Convert to fraction form
    25,750/38,630.42 = 8,884.54/x
  3. Step 3: Cross multiply
    25,750x = 38,630.42 × 8,884.54
  4. Step 4: Simplify right side
    25,750x = 343,213,511.71
  5. Step 5: Solve for x
    x = 343,213,511.71/25,750
  6. Step 6: Final answer
    x = 13,328.68

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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.