Home / 2,284.02-3,423.87-822.78

Finding the Fourth Proportional to 2,284.02, 3,423.87 and 822.78

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Solution

The fourth proportional to 2,284.02, 3,423.87 and 822.78 is: 1,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.02 : 3,423.87 = 822.78 : x
  2. Step 2: Convert to fraction form
    2,284.02/3,423.87 = 822.78/x
  3. Step 3: Cross multiply
    2,284.02x = 3,423.87 × 822.78
  4. Step 4: Simplify right side
    2,284.02x = 2,817,091.76
  5. Step 5: Solve for x
    x = 2,817,091.76/2,284.02
  6. Step 6: Final answer
    x = 1,233.39

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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.