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Finding the Fourth Proportional to 7,647.60, 11,470.10 and 2,099.65

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Solution

The fourth proportional to 7,647.60, 11,470.10 and 2,099.65 is: 3,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.60 : 11,470.10 = 2,099.65 : x
  2. Step 2: Convert to fraction form
    7,647.60/11,470.10 = 2,099.65/x
  3. Step 3: Cross multiply
    7,647.60x = 11,470.10 × 2,099.65
  4. Step 4: Simplify right side
    7,647.60x = 24,083,218.89
  5. Step 5: Solve for x
    x = 24,083,218.89/7,647.60
  6. Step 6: Final answer
    x = 3,149.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.