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Finding the Fourth Proportional to 25,978.20, 38,909.70 and 10,387.80

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Solution

The fourth proportional to 25,978.20, 38,909.70 and 10,387.80 is: 15,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.20 : 38,909.70 = 10,387.80 : x
  2. Step 2: Convert to fraction form
    25,978.20/38,909.70 = 10,387.80/x
  3. Step 3: Cross multiply
    25,978.20x = 38,909.70 × 10,387.80
  4. Step 4: Simplify right side
    25,978.20x = 404,186,181.66
  5. Step 5: Solve for x
    x = 404,186,181.66/25,978.20
  6. Step 6: Final answer
    x = 15,558.67

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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.