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Finding the Fourth Proportional to 2,221.92, 3,064.50 and 2,072.88

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Solution

The fourth proportional to 2,221.92, 3,064.50 and 2,072.88 is: 2,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.92 : 3,064.50 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    2,221.92/3,064.50 = 2,072.88/x
  3. Step 3: Cross multiply
    2,221.92x = 3,064.50 × 2,072.88
  4. Step 4: Simplify right side
    2,221.92x = 6,352,340.76
  5. Step 5: Solve for x
    x = 6,352,340.76/2,221.92
  6. Step 6: Final answer
    x = 2,858.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.