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Finding the Fourth Proportional to 8,142, 12,213.12 and 1,986

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Solution

The fourth proportional to 8,142, 12,213.12 and 1,986 is: 2,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 12,213.12 = 1,986 : x
  2. Step 2: Convert to fraction form
    8,142/12,213.12 = 1,986/x
  3. Step 3: Cross multiply
    8,142x = 12,213.12 × 1,986
  4. Step 4: Simplify right side
    8,142x = 24,255,256.32
  5. Step 5: Solve for x
    x = 24,255,256.32/8,142
  6. Step 6: Final answer
    x = 2,979.03

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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.