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Finding the Fourth Proportional to 8,187.87, 12,283.56 and 2,641.53

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Solution

The fourth proportional to 8,187.87, 12,283.56 and 2,641.53 is: 3,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.87 : 12,283.56 = 2,641.53 : x
  2. Step 2: Convert to fraction form
    8,187.87/12,283.56 = 2,641.53/x
  3. Step 3: Cross multiply
    8,187.87x = 12,283.56 × 2,641.53
  4. Step 4: Simplify right side
    8,187.87x = 32,447,392.25
  5. Step 5: Solve for x
    x = 32,447,392.25/8,187.87
  6. Step 6: Final answer
    x = 3,962.86

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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.