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Finding the Fourth Proportional to 8,857.46, 12,230.12 and 5,877.48

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Solution

The fourth proportional to 8,857.46, 12,230.12 and 5,877.48 is: 8,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.46 : 12,230.12 = 5,877.48 : x
  2. Step 2: Convert to fraction form
    8,857.46/12,230.12 = 5,877.48/x
  3. Step 3: Cross multiply
    8,857.46x = 12,230.12 × 5,877.48
  4. Step 4: Simplify right side
    8,857.46x = 71,882,285.70
  5. Step 5: Solve for x
    x = 71,882,285.70/8,857.46
  6. Step 6: Final answer
    x = 8,115.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.