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Finding the Fourth Proportional to 6,663.92, 9,984.94 and 2,278.98

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Solution

The fourth proportional to 6,663.92, 9,984.94 and 2,278.98 is: 3,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.92 : 9,984.94 = 2,278.98 : x
  2. Step 2: Convert to fraction form
    6,663.92/9,984.94 = 2,278.98/x
  3. Step 3: Cross multiply
    6,663.92x = 9,984.94 × 2,278.98
  4. Step 4: Simplify right side
    6,663.92x = 22,755,472.86
  5. Step 5: Solve for x
    x = 22,755,472.86/6,663.92
  6. Step 6: Final answer
    x = 3,414.73

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1.5x scale

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.