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Finding the Fourth Proportional to 1,296.82, 1,940.96 and 1,248.64

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Solution

The fourth proportional to 1,296.82, 1,940.96 and 1,248.64 is: 1,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.82 : 1,940.96 = 1,248.64 : x
  2. Step 2: Convert to fraction form
    1,296.82/1,940.96 = 1,248.64/x
  3. Step 3: Cross multiply
    1,296.82x = 1,940.96 × 1,248.64
  4. Step 4: Simplify right side
    1,296.82x = 2,423,564.02
  5. Step 5: Solve for x
    x = 2,423,564.02/1,296.82
  6. Step 6: Final answer
    x = 1,868.85

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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.