Home / 2,822.56-4,231.28-1,604

Finding the Fourth Proportional to 2,822.56, 4,231.28 and 1,604

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Solution

The fourth proportional to 2,822.56, 4,231.28 and 1,604 is: 2,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.56 : 4,231.28 = 1,604 : x
  2. Step 2: Convert to fraction form
    2,822.56/4,231.28 = 1,604/x
  3. Step 3: Cross multiply
    2,822.56x = 4,231.28 × 1,604
  4. Step 4: Simplify right side
    2,822.56x = 6,786,973.12
  5. Step 5: Solve for x
    x = 6,786,973.12/2,822.56
  6. Step 6: Final answer
    x = 2,404.55

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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.