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Finding the Fourth Proportional to 3,486.91, 5,229.96 and 1,295.68

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Solution

The fourth proportional to 3,486.91, 5,229.96 and 1,295.68 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.91 : 5,229.96 = 1,295.68 : x
  2. Step 2: Convert to fraction form
    3,486.91/5,229.96 = 1,295.68/x
  3. Step 3: Cross multiply
    3,486.91x = 5,229.96 × 1,295.68
  4. Step 4: Simplify right side
    3,486.91x = 6,776,354.57
  5. Step 5: Solve for x
    x = 6,776,354.57/3,486.91
  6. Step 6: Final answer
    x = 1,943.37

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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.