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Finding the Fourth Proportional to 2,637.55, 3,957.54 and 1,078.71

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Solution

The fourth proportional to 2,637.55, 3,957.54 and 1,078.71 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.55 : 3,957.54 = 1,078.71 : x
  2. Step 2: Convert to fraction form
    2,637.55/3,957.54 = 1,078.71/x
  3. Step 3: Cross multiply
    2,637.55x = 3,957.54 × 1,078.71
  4. Step 4: Simplify right side
    2,637.55x = 4,269,037.97
  5. Step 5: Solve for x
    x = 4,269,037.97/2,637.55
  6. Step 6: Final answer
    x = 1,618.56

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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.