Home / 3,972.34-5,954.31-1,782.10

Finding the Fourth Proportional to 3,972.34, 5,954.31 and 1,782.10

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Solution

The fourth proportional to 3,972.34, 5,954.31 and 1,782.10 is: 2,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.34 : 5,954.31 = 1,782.10 : x
  2. Step 2: Convert to fraction form
    3,972.34/5,954.31 = 1,782.10/x
  3. Step 3: Cross multiply
    3,972.34x = 5,954.31 × 1,782.10
  4. Step 4: Simplify right side
    3,972.34x = 10,611,175.85
  5. Step 5: Solve for x
    x = 10,611,175.85/3,972.34
  6. Step 6: Final answer
    x = 2,671.27

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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.