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Finding the Fourth Proportional to 2,168.70, 3,253.05 and 1,738.62

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Solution

The fourth proportional to 2,168.70, 3,253.05 and 1,738.62 is: 2,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.70 : 3,253.05 = 1,738.62 : x
  2. Step 2: Convert to fraction form
    2,168.70/3,253.05 = 1,738.62/x
  3. Step 3: Cross multiply
    2,168.70x = 3,253.05 × 1,738.62
  4. Step 4: Simplify right side
    2,168.70x = 5,655,817.79
  5. Step 5: Solve for x
    x = 5,655,817.79/2,168.70
  6. Step 6: Final answer
    x = 2,607.93

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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.