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Finding the Fourth Proportional to 25,649.65, 38,449.88 and 8,107.19

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Solution

The fourth proportional to 25,649.65, 38,449.88 and 8,107.19 is: 12,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.65 : 38,449.88 = 8,107.19 : x
  2. Step 2: Convert to fraction form
    25,649.65/38,449.88 = 8,107.19/x
  3. Step 3: Cross multiply
    25,649.65x = 38,449.88 × 8,107.19
  4. Step 4: Simplify right side
    25,649.65x = 311,720,249.85
  5. Step 5: Solve for x
    x = 311,720,249.85/25,649.65
  6. Step 6: Final answer
    x = 12,153.00

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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.