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Finding the Fourth Proportional to 39,840, 54,979.20 and 22,176

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Solution

The fourth proportional to 39,840, 54,979.20 and 22,176 is: 30,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,840 : 54,979.20 = 22,176 : x
  2. Step 2: Convert to fraction form
    39,840/54,979.20 = 22,176/x
  3. Step 3: Cross multiply
    39,840x = 54,979.20 × 22,176
  4. Step 4: Simplify right side
    39,840x = 1,219,218,739.20
  5. Step 5: Solve for x
    x = 1,219,218,739.20/39,840
  6. Step 6: Final answer
    x = 30,602.88

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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.