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Finding the Fourth Proportional to 4,992.80, 6,882.40 and 4,195.76

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Solution

The fourth proportional to 4,992.80, 6,882.40 and 4,195.76 is: 5,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.80 : 6,882.40 = 4,195.76 : x
  2. Step 2: Convert to fraction form
    4,992.80/6,882.40 = 4,195.76/x
  3. Step 3: Cross multiply
    4,992.80x = 6,882.40 × 4,195.76
  4. Step 4: Simplify right side
    4,992.80x = 28,876,898.62
  5. Step 5: Solve for x
    x = 28,876,898.62/4,992.80
  6. Step 6: Final answer
    x = 5,783.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.