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Finding the Fourth Proportional to 2,438.38, 3,657.87 and 957.65

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Solution

The fourth proportional to 2,438.38, 3,657.87 and 957.65 is: 1,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.38 : 3,657.87 = 957.65 : x
  2. Step 2: Convert to fraction form
    2,438.38/3,657.87 = 957.65/x
  3. Step 3: Cross multiply
    2,438.38x = 3,657.87 × 957.65
  4. Step 4: Simplify right side
    2,438.38x = 3,502,940.92
  5. Step 5: Solve for x
    x = 3,502,940.92/2,438.38
  6. Step 6: Final answer
    x = 1,436.59

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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.