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Finding the Fourth Proportional to 3,257.80, 4,884.90 and 1,065.40

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Solution

The fourth proportional to 3,257.80, 4,884.90 and 1,065.40 is: 1,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.80 : 4,884.90 = 1,065.40 : x
  2. Step 2: Convert to fraction form
    3,257.80/4,884.90 = 1,065.40/x
  3. Step 3: Cross multiply
    3,257.80x = 4,884.90 × 1,065.40
  4. Step 4: Simplify right side
    3,257.80x = 5,204,372.46
  5. Step 5: Solve for x
    x = 5,204,372.46/3,257.80
  6. Step 6: Final answer
    x = 1,597.51

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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.