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Finding the Fourth Proportional to 8,302.38, 12,475.10 and 6,241.81

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Solution

The fourth proportional to 8,302.38, 12,475.10 and 6,241.81 is: 9,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.38 : 12,475.10 = 6,241.81 : x
  2. Step 2: Convert to fraction form
    8,302.38/12,475.10 = 6,241.81/x
  3. Step 3: Cross multiply
    8,302.38x = 12,475.10 × 6,241.81
  4. Step 4: Simplify right side
    8,302.38x = 77,867,176.63
  5. Step 5: Solve for x
    x = 77,867,176.63/8,302.38
  6. Step 6: Final answer
    x = 9,378.90

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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.