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Finding the Fourth Proportional to 3,927.79, 5,891.72 and 1,154.51

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Solution

The fourth proportional to 3,927.79, 5,891.72 and 1,154.51 is: 1,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.79 : 5,891.72 = 1,154.51 : x
  2. Step 2: Convert to fraction form
    3,927.79/5,891.72 = 1,154.51/x
  3. Step 3: Cross multiply
    3,927.79x = 5,891.72 × 1,154.51
  4. Step 4: Simplify right side
    3,927.79x = 6,802,049.66
  5. Step 5: Solve for x
    x = 6,802,049.66/3,927.79
  6. Step 6: Final answer
    x = 1,731.78

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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.