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Finding the Fourth Proportional to 5,671, 8,500.42 and 2,742.85

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Solution

The fourth proportional to 5,671, 8,500.42 and 2,742.85 is: 4,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671 : 8,500.42 = 2,742.85 : x
  2. Step 2: Convert to fraction form
    5,671/8,500.42 = 2,742.85/x
  3. Step 3: Cross multiply
    5,671x = 8,500.42 × 2,742.85
  4. Step 4: Simplify right side
    5,671x = 23,315,377.00
  5. Step 5: Solve for x
    x = 23,315,377.00/5,671
  6. Step 6: Final answer
    x = 4,111.33

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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.