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Finding the Fourth Proportional to 8,142, 12,213.12 and 2,670

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Solution

The fourth proportional to 8,142, 12,213.12 and 2,670 is: 4,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 12,213.12 = 2,670 : x
  2. Step 2: Convert to fraction form
    8,142/12,213.12 = 2,670/x
  3. Step 3: Cross multiply
    8,142x = 12,213.12 × 2,670
  4. Step 4: Simplify right side
    8,142x = 32,609,030.40
  5. Step 5: Solve for x
    x = 32,609,030.40/8,142
  6. Step 6: Final answer
    x = 4,005.04

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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.