Home / 1,972.70-2,956.92-1,314.78

Finding the Fourth Proportional to 1,972.70, 2,956.92 and 1,314.78

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Solution

The fourth proportional to 1,972.70, 2,956.92 and 1,314.78 is: 1,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.70 : 2,956.92 = 1,314.78 : x
  2. Step 2: Convert to fraction form
    1,972.70/2,956.92 = 1,314.78/x
  3. Step 3: Cross multiply
    1,972.70x = 2,956.92 × 1,314.78
  4. Step 4: Simplify right side
    1,972.70x = 3,887,699.28
  5. Step 5: Solve for x
    x = 3,887,699.28/1,972.70
  6. Step 6: Final answer
    x = 1,970.75

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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.