Home / 1,965.78-2,948.46-1,233.18

Finding the Fourth Proportional to 1,965.78, 2,948.46 and 1,233.18

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Solution

The fourth proportional to 1,965.78, 2,948.46 and 1,233.18 is: 1,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.78 : 2,948.46 = 1,233.18 : x
  2. Step 2: Convert to fraction form
    1,965.78/2,948.46 = 1,233.18/x
  3. Step 3: Cross multiply
    1,965.78x = 2,948.46 × 1,233.18
  4. Step 4: Simplify right side
    1,965.78x = 3,635,981.90
  5. Step 5: Solve for x
    x = 3,635,981.90/1,965.78
  6. Step 6: Final answer
    x = 1,849.64

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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.