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Finding the Fourth Proportional to 3,473.01, 5,220.81 and 2,787.20

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Solution

The fourth proportional to 3,473.01, 5,220.81 and 2,787.20 is: 4,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.01 : 5,220.81 = 2,787.20 : x
  2. Step 2: Convert to fraction form
    3,473.01/5,220.81 = 2,787.20/x
  3. Step 3: Cross multiply
    3,473.01x = 5,220.81 × 2,787.20
  4. Step 4: Simplify right side
    3,473.01x = 14,551,407.69
  5. Step 5: Solve for x
    x = 14,551,407.69/3,473.01
  6. Step 6: Final answer
    x = 4,189.85

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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.