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Finding the Fourth Proportional to 3,571, 5,353.40 and 1,381.32

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Solution

The fourth proportional to 3,571, 5,353.40 and 1,381.32 is: 2,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571 : 5,353.40 = 1,381.32 : x
  2. Step 2: Convert to fraction form
    3,571/5,353.40 = 1,381.32/x
  3. Step 3: Cross multiply
    3,571x = 5,353.40 × 1,381.32
  4. Step 4: Simplify right side
    3,571x = 7,394,758.49
  5. Step 5: Solve for x
    x = 7,394,758.49/3,571
  6. Step 6: Final answer
    x = 2,070.78

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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.