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Finding the Fourth Proportional to 8,114.76, 12,175.74 and 3,182.76

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Solution

The fourth proportional to 8,114.76, 12,175.74 and 3,182.76 is: 4,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.76 : 12,175.74 = 3,182.76 : x
  2. Step 2: Convert to fraction form
    8,114.76/12,175.74 = 3,182.76/x
  3. Step 3: Cross multiply
    8,114.76x = 12,175.74 × 3,182.76
  4. Step 4: Simplify right side
    8,114.76x = 38,752,458.24
  5. Step 5: Solve for x
    x = 38,752,458.24/8,114.76
  6. Step 6: Final answer
    x = 4,775.55

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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.