Home / 1,317-1,965.29-1,142.04

Finding the Fourth Proportional to 1,317, 1,965.29 and 1,142.04

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Solution

The fourth proportional to 1,317, 1,965.29 and 1,142.04 is: 1,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 1,965.29 = 1,142.04 : x
  2. Step 2: Convert to fraction form
    1,317/1,965.29 = 1,142.04/x
  3. Step 3: Cross multiply
    1,317x = 1,965.29 × 1,142.04
  4. Step 4: Simplify right side
    1,317x = 2,244,434.08
  5. Step 5: Solve for x
    x = 2,244,434.08/1,317
  6. Step 6: Final answer
    x = 1,704.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.