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Finding the Fourth Proportional to 1,660.50, 2,496.42 and 1,296

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Solution

The fourth proportional to 1,660.50, 2,496.42 and 1,296 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.50 : 2,496.42 = 1,296 : x
  2. Step 2: Convert to fraction form
    1,660.50/2,496.42 = 1,296/x
  3. Step 3: Cross multiply
    1,660.50x = 2,496.42 × 1,296
  4. Step 4: Simplify right side
    1,660.50x = 3,235,360.32
  5. Step 5: Solve for x
    x = 3,235,360.32/1,660.50
  6. Step 6: Final answer
    x = 1,948.43

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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.