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Finding the Fourth Proportional to 8,047.46, 12,068.23 and 2,781.12

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Solution

The fourth proportional to 8,047.46, 12,068.23 and 2,781.12 is: 4,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.46 : 12,068.23 = 2,781.12 : x
  2. Step 2: Convert to fraction form
    8,047.46/12,068.23 = 2,781.12/x
  3. Step 3: Cross multiply
    8,047.46x = 12,068.23 × 2,781.12
  4. Step 4: Simplify right side
    8,047.46x = 33,563,121.57
  5. Step 5: Solve for x
    x = 33,563,121.57/8,047.46
  6. Step 6: Final answer
    x = 4,170.65

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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.