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Finding the Fourth Proportional to 25,829.42, 38,744.12 and 8,311.55

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Solution

The fourth proportional to 25,829.42, 38,744.12 and 8,311.55 is: 12,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.42 : 38,744.12 = 8,311.55 : x
  2. Step 2: Convert to fraction form
    25,829.42/38,744.12 = 8,311.55/x
  3. Step 3: Cross multiply
    25,829.42x = 38,744.12 × 8,311.55
  4. Step 4: Simplify right side
    25,829.42x = 322,023,517.64
  5. Step 5: Solve for x
    x = 322,023,517.64/25,829.42
  6. Step 6: Final answer
    x = 12,467.32

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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.