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Finding the Fourth Proportional to 3,872.22, 5,802.66 and 2,406.96

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Solution

The fourth proportional to 3,872.22, 5,802.66 and 2,406.96 is: 3,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.22 : 5,802.66 = 2,406.96 : x
  2. Step 2: Convert to fraction form
    3,872.22/5,802.66 = 2,406.96/x
  3. Step 3: Cross multiply
    3,872.22x = 5,802.66 × 2,406.96
  4. Step 4: Simplify right side
    3,872.22x = 13,966,770.51
  5. Step 5: Solve for x
    x = 13,966,770.51/3,872.22
  6. Step 6: Final answer
    x = 3,606.92

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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.