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Finding the Fourth Proportional to 1,296.76, 1,789.14 and 1,172.02

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Solution

The fourth proportional to 1,296.76, 1,789.14 and 1,172.02 is: 1,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.76 : 1,789.14 = 1,172.02 : x
  2. Step 2: Convert to fraction form
    1,296.76/1,789.14 = 1,172.02/x
  3. Step 3: Cross multiply
    1,296.76x = 1,789.14 × 1,172.02
  4. Step 4: Simplify right side
    1,296.76x = 2,096,907.86
  5. Step 5: Solve for x
    x = 2,096,907.86/1,296.76
  6. Step 6: Final answer
    x = 1,617.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.