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Finding the Fourth Proportional to 2,914.70, 4,372 and 834.68

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Solution

The fourth proportional to 2,914.70, 4,372 and 834.68 is: 1,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.70 : 4,372 = 834.68 : x
  2. Step 2: Convert to fraction form
    2,914.70/4,372 = 834.68/x
  3. Step 3: Cross multiply
    2,914.70x = 4,372 × 834.68
  4. Step 4: Simplify right side
    2,914.70x = 3,649,220.96
  5. Step 5: Solve for x
    x = 3,649,220.96/2,914.70
  6. Step 6: Final answer
    x = 1,252.01

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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.