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Finding the Fourth Proportional to 7,341.57, 11,031.46 and 6,861.65

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Solution

The fourth proportional to 7,341.57, 11,031.46 and 6,861.65 is: 10,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.57 : 11,031.46 = 6,861.65 : x
  2. Step 2: Convert to fraction form
    7,341.57/11,031.46 = 6,861.65/x
  3. Step 3: Cross multiply
    7,341.57x = 11,031.46 × 6,861.65
  4. Step 4: Simplify right side
    7,341.57x = 75,693,945.20
  5. Step 5: Solve for x
    x = 75,693,945.20/7,341.57
  6. Step 6: Final answer
    x = 10,310.32

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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.