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Finding the Fourth Proportional to 30,961.20, 42,724.44 and 19,782

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Solution

The fourth proportional to 30,961.20, 42,724.44 and 19,782 is: 27,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.20 : 42,724.44 = 19,782 : x
  2. Step 2: Convert to fraction form
    30,961.20/42,724.44 = 19,782/x
  3. Step 3: Cross multiply
    30,961.20x = 42,724.44 × 19,782
  4. Step 4: Simplify right side
    30,961.20x = 845,174,872.08
  5. Step 5: Solve for x
    x = 845,174,872.08/30,961.20
  6. Step 6: Final answer
    x = 27,297.87

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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.