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Finding the Fourth Proportional to 3,952.91, 5,455.12 and 2,184.63

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Solution

The fourth proportional to 3,952.91, 5,455.12 and 2,184.63 is: 3,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.91 : 5,455.12 = 2,184.63 : x
  2. Step 2: Convert to fraction form
    3,952.91/5,455.12 = 2,184.63/x
  3. Step 3: Cross multiply
    3,952.91x = 5,455.12 × 2,184.63
  4. Step 4: Simplify right side
    3,952.91x = 11,917,380.61
  5. Step 5: Solve for x
    x = 11,917,380.61/3,952.91
  6. Step 6: Final answer
    x = 3,014.84

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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.