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Finding the Fourth Proportional to 3,504.78, 5,255.15 and 1,746.21

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Solution

The fourth proportional to 3,504.78, 5,255.15 and 1,746.21 is: 2,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 5,255.15 = 1,746.21 : x
  2. Step 2: Convert to fraction form
    3,504.78/5,255.15 = 1,746.21/x
  3. Step 3: Cross multiply
    3,504.78x = 5,255.15 × 1,746.21
  4. Step 4: Simplify right side
    3,504.78x = 9,176,586.75
  5. Step 5: Solve for x
    x = 9,176,586.75/3,504.78
  6. Step 6: Final answer
    x = 2,618.31

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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.