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Finding the Fourth Proportional to 2,727.61, 3,764.13 and 1,548.71

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Solution

The fourth proportional to 2,727.61, 3,764.13 and 1,548.71 is: 2,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.61 : 3,764.13 = 1,548.71 : x
  2. Step 2: Convert to fraction form
    2,727.61/3,764.13 = 1,548.71/x
  3. Step 3: Cross multiply
    2,727.61x = 3,764.13 × 1,548.71
  4. Step 4: Simplify right side
    2,727.61x = 5,829,521.14
  5. Step 5: Solve for x
    x = 5,829,521.14/2,727.61
  6. Step 6: Final answer
    x = 2,137.23

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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.