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Finding the Fourth Proportional to 4,474.62, 6,711.93 and 1,187.74

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Solution

The fourth proportional to 4,474.62, 6,711.93 and 1,187.74 is: 1,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.62 : 6,711.93 = 1,187.74 : x
  2. Step 2: Convert to fraction form
    4,474.62/6,711.93 = 1,187.74/x
  3. Step 3: Cross multiply
    4,474.62x = 6,711.93 × 1,187.74
  4. Step 4: Simplify right side
    4,474.62x = 7,972,012.24
  5. Step 5: Solve for x
    x = 7,972,012.24/4,474.62
  6. Step 6: Final answer
    x = 1,781.61

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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.