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Finding the Fourth Proportional to 8,142.78, 12,214.20 and 1,986.78

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Solution

The fourth proportional to 8,142.78, 12,214.20 and 1,986.78 is: 2,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.78 : 12,214.20 = 1,986.78 : x
  2. Step 2: Convert to fraction form
    8,142.78/12,214.20 = 1,986.78/x
  3. Step 3: Cross multiply
    8,142.78x = 12,214.20 × 1,986.78
  4. Step 4: Simplify right side
    8,142.78x = 24,266,928.28
  5. Step 5: Solve for x
    x = 24,266,928.28/8,142.78
  6. Step 6: Final answer
    x = 2,980.18

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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.