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Finding the Fourth Proportional to 2,605.74, 3,914.49 and 1,512.78

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Solution

The fourth proportional to 2,605.74, 3,914.49 and 1,512.78 is: 2,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.74 : 3,914.49 = 1,512.78 : x
  2. Step 2: Convert to fraction form
    2,605.74/3,914.49 = 1,512.78/x
  3. Step 3: Cross multiply
    2,605.74x = 3,914.49 × 1,512.78
  4. Step 4: Simplify right side
    2,605.74x = 5,921,762.18
  5. Step 5: Solve for x
    x = 5,921,762.18/2,605.74
  6. Step 6: Final answer
    x = 2,272.58

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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.