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Finding the Fourth Proportional to 3,966.72, 5,474.84 and 2,289.21

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Solution

The fourth proportional to 3,966.72, 5,474.84 and 2,289.21 is: 3,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.72 : 5,474.84 = 2,289.21 : x
  2. Step 2: Convert to fraction form
    3,966.72/5,474.84 = 2,289.21/x
  3. Step 3: Cross multiply
    3,966.72x = 5,474.84 × 2,289.21
  4. Step 4: Simplify right side
    3,966.72x = 12,533,058.48
  5. Step 5: Solve for x
    x = 12,533,058.48/3,966.72
  6. Step 6: Final answer
    x = 3,159.55

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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.