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Finding the Fourth Proportional to 3,966, 5,470.80 and 2,473.20

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Solution

The fourth proportional to 3,966, 5,470.80 and 2,473.20 is: 3,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,470.80 = 2,473.20 : x
  2. Step 2: Convert to fraction form
    3,966/5,470.80 = 2,473.20/x
  3. Step 3: Cross multiply
    3,966x = 5,470.80 × 2,473.20
  4. Step 4: Simplify right side
    3,966x = 13,530,382.56
  5. Step 5: Solve for x
    x = 13,530,382.56/3,966
  6. Step 6: Final answer
    x = 3,411.59

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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.