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Finding the Fourth Proportional to 25,674.90, 38,519.10 and 8,144.70

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Solution

The fourth proportional to 25,674.90, 38,519.10 and 8,144.70 is: 12,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.90 : 38,519.10 = 8,144.70 : x
  2. Step 2: Convert to fraction form
    25,674.90/38,519.10 = 8,144.70/x
  3. Step 3: Cross multiply
    25,674.90x = 38,519.10 × 8,144.70
  4. Step 4: Simplify right side
    25,674.90x = 313,726,513.77
  5. Step 5: Solve for x
    x = 313,726,513.77/25,674.90
  6. Step 6: Final answer
    x = 12,219.19

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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.