Home / 7,921.92-11,882.16-2,078.40

Finding the Fourth Proportional to 7,921.92, 11,882.16 and 2,078.40

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Solution

The fourth proportional to 7,921.92, 11,882.16 and 2,078.40 is: 3,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.92 : 11,882.16 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    7,921.92/11,882.16 = 2,078.40/x
  3. Step 3: Cross multiply
    7,921.92x = 11,882.16 × 2,078.40
  4. Step 4: Simplify right side
    7,921.92x = 24,695,881.34
  5. Step 5: Solve for x
    x = 24,695,881.34/7,921.92
  6. Step 6: Final answer
    x = 3,117.41

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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.