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Finding the Fourth Proportional to 7,234.92, 10,854 and 2,851.20

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Solution

The fourth proportional to 7,234.92, 10,854 and 2,851.20 is: 4,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.92 : 10,854 = 2,851.20 : x
  2. Step 2: Convert to fraction form
    7,234.92/10,854 = 2,851.20/x
  3. Step 3: Cross multiply
    7,234.92x = 10,854 × 2,851.20
  4. Step 4: Simplify right side
    7,234.92x = 30,946,924.80
  5. Step 5: Solve for x
    x = 30,946,924.80/7,234.92
  6. Step 6: Final answer
    x = 4,277.44

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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.