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Finding the Fourth Proportional to 5,561.57, 8,342.34 and 1,401.90

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Solution

The fourth proportional to 5,561.57, 8,342.34 and 1,401.90 is: 2,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.57 : 8,342.34 = 1,401.90 : x
  2. Step 2: Convert to fraction form
    5,561.57/8,342.34 = 1,401.90/x
  3. Step 3: Cross multiply
    5,561.57x = 8,342.34 × 1,401.90
  4. Step 4: Simplify right side
    5,561.57x = 11,695,126.45
  5. Step 5: Solve for x
    x = 11,695,126.45/5,561.57
  6. Step 6: Final answer
    x = 2,102.85

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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.