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Finding the Fourth Proportional to 3,161.91, 4,363.88 and 1,764.75

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Solution

The fourth proportional to 3,161.91, 4,363.88 and 1,764.75 is: 2,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.91 : 4,363.88 = 1,764.75 : x
  2. Step 2: Convert to fraction form
    3,161.91/4,363.88 = 1,764.75/x
  3. Step 3: Cross multiply
    3,161.91x = 4,363.88 × 1,764.75
  4. Step 4: Simplify right side
    3,161.91x = 7,701,148.41
  5. Step 5: Solve for x
    x = 7,701,148.41/3,161.91
  6. Step 6: Final answer
    x = 2,435.60

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Double scale
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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.