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Finding the Fourth Proportional to 2,689.56, 4,034.70 and 957.78

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Solution

The fourth proportional to 2,689.56, 4,034.70 and 957.78 is: 1,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.56 : 4,034.70 = 957.78 : x
  2. Step 2: Convert to fraction form
    2,689.56/4,034.70 = 957.78/x
  3. Step 3: Cross multiply
    2,689.56x = 4,034.70 × 957.78
  4. Step 4: Simplify right side
    2,689.56x = 3,864,354.97
  5. Step 5: Solve for x
    x = 3,864,354.97/2,689.56
  6. Step 6: Final answer
    x = 1,436.80

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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.