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Finding the Fourth Proportional to 25,642.80, 38,467.20 and 8,114.40

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Solution

The fourth proportional to 25,642.80, 38,467.20 and 8,114.40 is: 12,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.80 : 38,467.20 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    25,642.80/38,467.20 = 8,114.40/x
  3. Step 3: Cross multiply
    25,642.80x = 38,467.20 × 8,114.40
  4. Step 4: Simplify right side
    25,642.80x = 312,138,247.68
  5. Step 5: Solve for x
    x = 312,138,247.68/25,642.80
  6. Step 6: Final answer
    x = 12,172.55

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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.