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Finding the Fourth Proportional to 2,438.54, 3,658.34 and 957.90

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Solution

The fourth proportional to 2,438.54, 3,658.34 and 957.90 is: 1,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.54 : 3,658.34 = 957.90 : x
  2. Step 2: Convert to fraction form
    2,438.54/3,658.34 = 957.90/x
  3. Step 3: Cross multiply
    2,438.54x = 3,658.34 × 957.90
  4. Step 4: Simplify right side
    2,438.54x = 3,504,317.63
  5. Step 5: Solve for x
    x = 3,504,317.63/2,438.54
  6. Step 6: Final answer
    x = 1,437.06

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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.