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Finding the Fourth Proportional to 3,879.69, 5,353.57 and 2,264.66

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Solution

The fourth proportional to 3,879.69, 5,353.57 and 2,264.66 is: 3,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.69 : 5,353.57 = 2,264.66 : x
  2. Step 2: Convert to fraction form
    3,879.69/5,353.57 = 2,264.66/x
  3. Step 3: Cross multiply
    3,879.69x = 5,353.57 × 2,264.66
  4. Step 4: Simplify right side
    3,879.69x = 12,123,983.41
  5. Step 5: Solve for x
    x = 12,123,983.41/3,879.69
  6. Step 6: Final answer
    x = 3,124.99

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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.