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Finding the Fourth Proportional to 3,257.96, 4,887.16 and 1,310.18

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Solution

The fourth proportional to 3,257.96, 4,887.16 and 1,310.18 is: 1,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.96 : 4,887.16 = 1,310.18 : x
  2. Step 2: Convert to fraction form
    3,257.96/4,887.16 = 1,310.18/x
  3. Step 3: Cross multiply
    3,257.96x = 4,887.16 × 1,310.18
  4. Step 4: Simplify right side
    3,257.96x = 6,403,059.29
  5. Step 5: Solve for x
    x = 6,403,059.29/3,257.96
  6. Step 6: Final answer
    x = 1,965.36

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Double scale
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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.