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Finding the Fourth Proportional to 25,909.47, 38,865.42 and 8,380.67

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Solution

The fourth proportional to 25,909.47, 38,865.42 and 8,380.67 is: 12,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.47 : 38,865.42 = 8,380.67 : x
  2. Step 2: Convert to fraction form
    25,909.47/38,865.42 = 8,380.67/x
  3. Step 3: Cross multiply
    25,909.47x = 38,865.42 × 8,380.67
  4. Step 4: Simplify right side
    25,909.47x = 325,718,065.10
  5. Step 5: Solve for x
    x = 325,718,065.10/25,909.47
  6. Step 6: Final answer
    x = 12,571.39

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1.5x scale

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.