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Finding the Fourth Proportional to 8,078.68, 12,119.82 and 4,182.16

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Solution

The fourth proportional to 8,078.68, 12,119.82 and 4,182.16 is: 6,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.68 : 12,119.82 = 4,182.16 : x
  2. Step 2: Convert to fraction form
    8,078.68/12,119.82 = 4,182.16/x
  3. Step 3: Cross multiply
    8,078.68x = 12,119.82 × 4,182.16
  4. Step 4: Simplify right side
    8,078.68x = 50,687,026.41
  5. Step 5: Solve for x
    x = 50,687,026.41/8,078.68
  6. Step 6: Final answer
    x = 6,274.17

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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.