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Finding the Fourth Proportional to 9,241.20, 13,861.80 and 8,585.10

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Solution

The fourth proportional to 9,241.20, 13,861.80 and 8,585.10 is: 12,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.20 : 13,861.80 = 8,585.10 : x
  2. Step 2: Convert to fraction form
    9,241.20/13,861.80 = 8,585.10/x
  3. Step 3: Cross multiply
    9,241.20x = 13,861.80 × 8,585.10
  4. Step 4: Simplify right side
    9,241.20x = 119,004,939.18
  5. Step 5: Solve for x
    x = 119,004,939.18/9,241.20
  6. Step 6: Final answer
    x = 12,877.65

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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.