Home / 7,712.25-11,563.48-6,542.65

Finding the Fourth Proportional to 7,712.25, 11,563.48 and 6,542.65

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Solution

The fourth proportional to 7,712.25, 11,563.48 and 6,542.65 is: 9,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.25 : 11,563.48 = 6,542.65 : x
  2. Step 2: Convert to fraction form
    7,712.25/11,563.48 = 6,542.65/x
  3. Step 3: Cross multiply
    7,712.25x = 11,563.48 × 6,542.65
  4. Step 4: Simplify right side
    7,712.25x = 75,655,814.97
  5. Step 5: Solve for x
    x = 75,655,814.97/7,712.25
  6. Step 6: Final answer
    x = 9,809.83

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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.