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Finding the Fourth Proportional to 8,290.41, 12,437.89 and 2,447.02

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Solution

The fourth proportional to 8,290.41, 12,437.89 and 2,447.02 is: 3,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.41 : 12,437.89 = 2,447.02 : x
  2. Step 2: Convert to fraction form
    8,290.41/12,437.89 = 2,447.02/x
  3. Step 3: Cross multiply
    8,290.41x = 12,437.89 × 2,447.02
  4. Step 4: Simplify right side
    8,290.41x = 30,435,728.38
  5. Step 5: Solve for x
    x = 30,435,728.38/8,290.41
  6. Step 6: Final answer
    x = 3,671.20

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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.