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Finding the Fourth Proportional to 3,192.77, 4,791 and 1,343.76

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Solution

The fourth proportional to 3,192.77, 4,791 and 1,343.76 is: 2,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.77 : 4,791 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    3,192.77/4,791 = 1,343.76/x
  3. Step 3: Cross multiply
    3,192.77x = 4,791 × 1,343.76
  4. Step 4: Simplify right side
    3,192.77x = 6,437,954.16
  5. Step 5: Solve for x
    x = 6,437,954.16/3,192.77
  6. Step 6: Final answer
    x = 2,016.42

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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.