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Finding the Fourth Proportional to 2,689.62, 4,034.79 and 957.66

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Solution

The fourth proportional to 2,689.62, 4,034.79 and 957.66 is: 1,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.62 : 4,034.79 = 957.66 : x
  2. Step 2: Convert to fraction form
    2,689.62/4,034.79 = 957.66/x
  3. Step 3: Cross multiply
    2,689.62x = 4,034.79 × 957.66
  4. Step 4: Simplify right side
    2,689.62x = 3,863,956.99
  5. Step 5: Solve for x
    x = 3,863,956.99/2,689.62
  6. Step 6: Final answer
    x = 1,436.62

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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.