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Finding the Fourth Proportional to 2,754.56, 4,131.81 and 1,658.63

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Solution

The fourth proportional to 2,754.56, 4,131.81 and 1,658.63 is: 2,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.56 : 4,131.81 = 1,658.63 : x
  2. Step 2: Convert to fraction form
    2,754.56/4,131.81 = 1,658.63/x
  3. Step 3: Cross multiply
    2,754.56x = 4,131.81 × 1,658.63
  4. Step 4: Simplify right side
    2,754.56x = 6,853,131.11
  5. Step 5: Solve for x
    x = 6,853,131.11/2,754.56
  6. Step 6: Final answer
    x = 2,487.93

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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.