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Finding the Fourth Proportional to 2,641.16, 3,963.11 and 1,916.71

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Solution

The fourth proportional to 2,641.16, 3,963.11 and 1,916.71 is: 2,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.16 : 3,963.11 = 1,916.71 : x
  2. Step 2: Convert to fraction form
    2,641.16/3,963.11 = 1,916.71/x
  3. Step 3: Cross multiply
    2,641.16x = 3,963.11 × 1,916.71
  4. Step 4: Simplify right side
    2,641.16x = 7,596,132.57
  5. Step 5: Solve for x
    x = 7,596,132.57/2,641.16
  6. Step 6: Final answer
    x = 2,876.06

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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.