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Finding the Fourth Proportional to 3,377.76, 4,661.55 and 1,961.91

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Solution

The fourth proportional to 3,377.76, 4,661.55 and 1,961.91 is: 2,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.76 : 4,661.55 = 1,961.91 : x
  2. Step 2: Convert to fraction form
    3,377.76/4,661.55 = 1,961.91/x
  3. Step 3: Cross multiply
    3,377.76x = 4,661.55 × 1,961.91
  4. Step 4: Simplify right side
    3,377.76x = 9,145,541.56
  5. Step 5: Solve for x
    x = 9,145,541.56/3,377.76
  6. Step 6: Final answer
    x = 2,707.58

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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.