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Finding the Fourth Proportional to 3,874.70, 5,346.99 and 2,259.91

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Solution

The fourth proportional to 3,874.70, 5,346.99 and 2,259.91 is: 3,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.70 : 5,346.99 = 2,259.91 : x
  2. Step 2: Convert to fraction form
    3,874.70/5,346.99 = 2,259.91/x
  3. Step 3: Cross multiply
    3,874.70x = 5,346.99 × 2,259.91
  4. Step 4: Simplify right side
    3,874.70x = 12,083,711.28
  5. Step 5: Solve for x
    x = 12,083,711.28/3,874.70
  6. Step 6: Final answer
    x = 3,118.62

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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.