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Finding the Fourth Proportional to 3,257.72, 4,495.72 and 1,765.70

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Solution

The fourth proportional to 3,257.72, 4,495.72 and 1,765.70 is: 2,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 4,495.72 = 1,765.70 : x
  2. Step 2: Convert to fraction form
    3,257.72/4,495.72 = 1,765.70/x
  3. Step 3: Cross multiply
    3,257.72x = 4,495.72 × 1,765.70
  4. Step 4: Simplify right side
    3,257.72x = 7,938,092.80
  5. Step 5: Solve for x
    x = 7,938,092.80/3,257.72
  6. Step 6: Final answer
    x = 2,436.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.