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Finding the Fourth Proportional to 1,489.74, 2,224.89 and 1,268.00

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Solution

The fourth proportional to 1,489.74, 2,224.89 and 1,268.00 is: 1,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.74 : 2,224.89 = 1,268.00 : x
  2. Step 2: Convert to fraction form
    1,489.74/2,224.89 = 1,268.00/x
  3. Step 3: Cross multiply
    1,489.74x = 2,224.89 × 1,268.00
  4. Step 4: Simplify right side
    1,489.74x = 2,821,149.40
  5. Step 5: Solve for x
    x = 2,821,149.40/1,489.74
  6. Step 6: Final answer
    x = 1,893.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.