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Finding the Fourth Proportional to 3,255, 4,881.84 and 1,174.74

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Solution

The fourth proportional to 3,255, 4,881.84 and 1,174.74 is: 1,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255 : 4,881.84 = 1,174.74 : x
  2. Step 2: Convert to fraction form
    3,255/4,881.84 = 1,174.74/x
  3. Step 3: Cross multiply
    3,255x = 4,881.84 × 1,174.74
  4. Step 4: Simplify right side
    3,255x = 5,734,892.72
  5. Step 5: Solve for x
    x = 5,734,892.72/3,255
  6. Step 6: Final answer
    x = 1,761.87

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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.