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Finding the Fourth Proportional to 2,221.76, 3,065.76 and 1,226.96

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Solution

The fourth proportional to 2,221.76, 3,065.76 and 1,226.96 is: 1,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.76 : 3,065.76 = 1,226.96 : x
  2. Step 2: Convert to fraction form
    2,221.76/3,065.76 = 1,226.96/x
  3. Step 3: Cross multiply
    2,221.76x = 3,065.76 × 1,226.96
  4. Step 4: Simplify right side
    2,221.76x = 3,761,564.89
  5. Step 5: Solve for x
    x = 3,761,564.89/2,221.76
  6. Step 6: Final answer
    x = 1,693.06

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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.