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Finding the Fourth Proportional to 1,293.12, 1,792.02 and 1,268.49

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Solution

The fourth proportional to 1,293.12, 1,792.02 and 1,268.49 is: 1,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,792.02 = 1,268.49 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,792.02 = 1,268.49/x
  3. Step 3: Cross multiply
    1,293.12x = 1,792.02 × 1,268.49
  4. Step 4: Simplify right side
    1,293.12x = 2,273,159.45
  5. Step 5: Solve for x
    x = 2,273,159.45/1,293.12
  6. Step 6: Final answer
    x = 1,757.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.