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Finding the Fourth Proportional to 7,315.85, 10,979.92 and 6,854.52

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Solution

The fourth proportional to 7,315.85, 10,979.92 and 6,854.52 is: 10,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.85 : 10,979.92 = 6,854.52 : x
  2. Step 2: Convert to fraction form
    7,315.85/10,979.92 = 6,854.52/x
  3. Step 3: Cross multiply
    7,315.85x = 10,979.92 × 6,854.52
  4. Step 4: Simplify right side
    7,315.85x = 75,262,130.98
  5. Step 5: Solve for x
    x = 75,262,130.98/7,315.85
  6. Step 6: Final answer
    x = 10,287.54

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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.