Home / 2,772.13-4,157.65-823.90

Finding the Fourth Proportional to 2,772.13, 4,157.65 and 823.90

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Solution

The fourth proportional to 2,772.13, 4,157.65 and 823.90 is: 1,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.13 : 4,157.65 = 823.90 : x
  2. Step 2: Convert to fraction form
    2,772.13/4,157.65 = 823.90/x
  3. Step 3: Cross multiply
    2,772.13x = 4,157.65 × 823.90
  4. Step 4: Simplify right side
    2,772.13x = 3,425,487.84
  5. Step 5: Solve for x
    x = 3,425,487.84/2,772.13
  6. Step 6: Final answer
    x = 1,235.69

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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.