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Finding the Fourth Proportional to 3,963.65, 5,946.38 and 2,113.79

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Solution

The fourth proportional to 3,963.65, 5,946.38 and 2,113.79 is: 3,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.65 : 5,946.38 = 2,113.79 : x
  2. Step 2: Convert to fraction form
    3,963.65/5,946.38 = 2,113.79/x
  3. Step 3: Cross multiply
    3,963.65x = 5,946.38 × 2,113.79
  4. Step 4: Simplify right side
    3,963.65x = 12,569,398.58
  5. Step 5: Solve for x
    x = 12,569,398.58/3,963.65
  6. Step 6: Final answer
    x = 3,171.17

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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.