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Finding the Fourth Proportional to 8,127.32, 12,191.76 and 2,283.98

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Solution

The fourth proportional to 8,127.32, 12,191.76 and 2,283.98 is: 3,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.32 : 12,191.76 = 2,283.98 : x
  2. Step 2: Convert to fraction form
    8,127.32/12,191.76 = 2,283.98/x
  3. Step 3: Cross multiply
    8,127.32x = 12,191.76 × 2,283.98
  4. Step 4: Simplify right side
    8,127.32x = 27,845,675.05
  5. Step 5: Solve for x
    x = 27,845,675.05/8,127.32
  6. Step 6: Final answer
    x = 3,426.18

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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.