Home / 7,922.16-11,882.76-2,078.64

Finding the Fourth Proportional to 7,922.16, 11,882.76 and 2,078.64

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Solution

The fourth proportional to 7,922.16, 11,882.76 and 2,078.64 is: 3,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.16 : 11,882.76 = 2,078.64 : x
  2. Step 2: Convert to fraction form
    7,922.16/11,882.76 = 2,078.64/x
  3. Step 3: Cross multiply
    7,922.16x = 11,882.76 × 2,078.64
  4. Step 4: Simplify right side
    7,922.16x = 24,699,980.25
  5. Step 5: Solve for x
    x = 24,699,980.25/7,922.16
  6. Step 6: Final answer
    x = 3,117.83

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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.