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Finding the Fourth Proportional to 3,108.76, 4,290.09 and 1,711.50

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Solution

The fourth proportional to 3,108.76, 4,290.09 and 1,711.50 is: 2,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.76 : 4,290.09 = 1,711.50 : x
  2. Step 2: Convert to fraction form
    3,108.76/4,290.09 = 1,711.50/x
  3. Step 3: Cross multiply
    3,108.76x = 4,290.09 × 1,711.50
  4. Step 4: Simplify right side
    3,108.76x = 7,342,489.04
  5. Step 5: Solve for x
    x = 7,342,489.04/3,108.76
  6. Step 6: Final answer
    x = 2,361.87

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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.