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Finding the Fourth Proportional to 2,673.64, 4,010.46 and 725.79

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Solution

The fourth proportional to 2,673.64, 4,010.46 and 725.79 is: 1,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.64 : 4,010.46 = 725.79 : x
  2. Step 2: Convert to fraction form
    2,673.64/4,010.46 = 725.79/x
  3. Step 3: Cross multiply
    2,673.64x = 4,010.46 × 725.79
  4. Step 4: Simplify right side
    2,673.64x = 2,910,751.76
  5. Step 5: Solve for x
    x = 2,910,751.76/2,673.64
  6. Step 6: Final answer
    x = 1,088.69

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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.