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Finding the Fourth Proportional to 2,822.84, 4,221.84 and 2,564.48

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Solution

The fourth proportional to 2,822.84, 4,221.84 and 2,564.48 is: 3,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.84 : 4,221.84 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    2,822.84/4,221.84 = 2,564.48/x
  3. Step 3: Cross multiply
    2,822.84x = 4,221.84 × 2,564.48
  4. Step 4: Simplify right side
    2,822.84x = 10,826,824.24
  5. Step 5: Solve for x
    x = 10,826,824.24/2,822.84
  6. Step 6: Final answer
    x = 3,835.44

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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.