Home / 2,553.96-3,830.88-822.60

Finding the Fourth Proportional to 2,553.96, 3,830.88 and 822.60

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Solution

The fourth proportional to 2,553.96, 3,830.88 and 822.60 is: 1,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.96 : 3,830.88 = 822.60 : x
  2. Step 2: Convert to fraction form
    2,553.96/3,830.88 = 822.60/x
  3. Step 3: Cross multiply
    2,553.96x = 3,830.88 × 822.60
  4. Step 4: Simplify right side
    2,553.96x = 3,151,281.89
  5. Step 5: Solve for x
    x = 3,151,281.89/2,553.96
  6. Step 6: Final answer
    x = 1,233.88

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1.5x scale

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.