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Finding the Fourth Proportional to 1,726.31, 2,382.31 and 1,202.65

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Solution

The fourth proportional to 1,726.31, 2,382.31 and 1,202.65 is: 1,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.31 : 2,382.31 = 1,202.65 : x
  2. Step 2: Convert to fraction form
    1,726.31/2,382.31 = 1,202.65/x
  3. Step 3: Cross multiply
    1,726.31x = 2,382.31 × 1,202.65
  4. Step 4: Simplify right side
    1,726.31x = 2,865,080.67
  5. Step 5: Solve for x
    x = 2,865,080.67/1,726.31
  6. Step 6: Final answer
    x = 1,659.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.