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Finding the Fourth Proportional to 1,727, 2,382.72 and 1,137.86

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Solution

The fourth proportional to 1,727, 2,382.72 and 1,137.86 is: 1,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727 : 2,382.72 = 1,137.86 : x
  2. Step 2: Convert to fraction form
    1,727/2,382.72 = 1,137.86/x
  3. Step 3: Cross multiply
    1,727x = 2,382.72 × 1,137.86
  4. Step 4: Simplify right side
    1,727x = 2,711,201.78
  5. Step 5: Solve for x
    x = 2,711,201.78/1,727
  6. Step 6: Final answer
    x = 1,569.89

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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.