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Finding the Fourth Proportional to 3,972.56, 5,956.71 and 1,339.19

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Solution

The fourth proportional to 3,972.56, 5,956.71 and 1,339.19 is: 2,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.56 : 5,956.71 = 1,339.19 : x
  2. Step 2: Convert to fraction form
    3,972.56/5,956.71 = 1,339.19/x
  3. Step 3: Cross multiply
    3,972.56x = 5,956.71 × 1,339.19
  4. Step 4: Simplify right side
    3,972.56x = 7,977,166.46
  5. Step 5: Solve for x
    x = 7,977,166.46/3,972.56
  6. Step 6: Final answer
    x = 2,008.07

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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.