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Finding the Fourth Proportional to 3,512.78, 5,269.26 and 1,664.78

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Solution

The fourth proportional to 3,512.78, 5,269.26 and 1,664.78 is: 2,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.78 : 5,269.26 = 1,664.78 : x
  2. Step 2: Convert to fraction form
    3,512.78/5,269.26 = 1,664.78/x
  3. Step 3: Cross multiply
    3,512.78x = 5,269.26 × 1,664.78
  4. Step 4: Simplify right side
    3,512.78x = 8,772,158.66
  5. Step 5: Solve for x
    x = 8,772,158.66/3,512.78
  6. Step 6: Final answer
    x = 2,497.21

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1.5x scale

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.