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Finding the Fourth Proportional to 3,866.48, 5,800.87 and 2,742.91

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Solution

The fourth proportional to 3,866.48, 5,800.87 and 2,742.91 is: 4,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.48 : 5,800.87 = 2,742.91 : x
  2. Step 2: Convert to fraction form
    3,866.48/5,800.87 = 2,742.91/x
  3. Step 3: Cross multiply
    3,866.48x = 5,800.87 × 2,742.91
  4. Step 4: Simplify right side
    3,866.48x = 15,911,264.33
  5. Step 5: Solve for x
    x = 15,911,264.33/3,866.48
  6. Step 6: Final answer
    x = 4,115.18

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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.