Home / 1,420.67-2,124.83-834.27

Finding the Fourth Proportional to 1,420.67, 2,124.83 and 834.27

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Solution

The fourth proportional to 1,420.67, 2,124.83 and 834.27 is: 1,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.67 : 2,124.83 = 834.27 : x
  2. Step 2: Convert to fraction form
    1,420.67/2,124.83 = 834.27/x
  3. Step 3: Cross multiply
    1,420.67x = 2,124.83 × 834.27
  4. Step 4: Simplify right side
    1,420.67x = 1,772,677.75
  5. Step 5: Solve for x
    x = 1,772,677.75/1,420.67
  6. Step 6: Final answer
    x = 1,247.78

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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.