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Finding the Fourth Proportional to 2,618.10, 3,616.17 and 1,957.88

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Solution

The fourth proportional to 2,618.10, 3,616.17 and 1,957.88 is: 2,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.10 : 3,616.17 = 1,957.88 : x
  2. Step 2: Convert to fraction form
    2,618.10/3,616.17 = 1,957.88/x
  3. Step 3: Cross multiply
    2,618.10x = 3,616.17 × 1,957.88
  4. Step 4: Simplify right side
    2,618.10x = 7,080,008.84
  5. Step 5: Solve for x
    x = 7,080,008.84/2,618.10
  6. Step 6: Final answer
    x = 2,704.25

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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.