Home / 1,429.06-1,964.54-1,229.16

Finding the Fourth Proportional to 1,429.06, 1,964.54 and 1,229.16

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Solution

The fourth proportional to 1,429.06, 1,964.54 and 1,229.16 is: 1,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.06 : 1,964.54 = 1,229.16 : x
  2. Step 2: Convert to fraction form
    1,429.06/1,964.54 = 1,229.16/x
  3. Step 3: Cross multiply
    1,429.06x = 1,964.54 × 1,229.16
  4. Step 4: Simplify right side
    1,429.06x = 2,414,733.99
  5. Step 5: Solve for x
    x = 2,414,733.99/1,429.06
  6. Step 6: Final answer
    x = 1,689.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.