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Finding the Fourth Proportional to 8,072, 12,108.76 and 3,142.02

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Solution

The fourth proportional to 8,072, 12,108.76 and 3,142.02 is: 4,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072 : 12,108.76 = 3,142.02 : x
  2. Step 2: Convert to fraction form
    8,072/12,108.76 = 3,142.02/x
  3. Step 3: Cross multiply
    8,072x = 12,108.76 × 3,142.02
  4. Step 4: Simplify right side
    8,072x = 38,045,966.10
  5. Step 5: Solve for x
    x = 38,045,966.10/8,072
  6. Step 6: Final answer
    x = 4,713.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.