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Finding the Fourth Proportional to 5,791.42, 8,687 and 1,408.90

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Solution

The fourth proportional to 5,791.42, 8,687 and 1,408.90 is: 2,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.42 : 8,687 = 1,408.90 : x
  2. Step 2: Convert to fraction form
    5,791.42/8,687 = 1,408.90/x
  3. Step 3: Cross multiply
    5,791.42x = 8,687 × 1,408.90
  4. Step 4: Simplify right side
    5,791.42x = 12,239,070.87
  5. Step 5: Solve for x
    x = 12,239,070.87/5,791.42
  6. Step 6: Final answer
    x = 2,113.31

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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.