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Finding the Fourth Proportional to 3,952.82, 5,927.24 and 1,319.42

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Solution

The fourth proportional to 3,952.82, 5,927.24 and 1,319.42 is: 1,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.82 : 5,927.24 = 1,319.42 : x
  2. Step 2: Convert to fraction form
    3,952.82/5,927.24 = 1,319.42/x
  3. Step 3: Cross multiply
    3,952.82x = 5,927.24 × 1,319.42
  4. Step 4: Simplify right side
    3,952.82x = 7,820,492.66
  5. Step 5: Solve for x
    x = 7,820,492.66/3,952.82
  6. Step 6: Final answer
    x = 1,978.46

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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.