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Finding the Fourth Proportional to 39,823, 54,956.22 and 22,159

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Solution

The fourth proportional to 39,823, 54,956.22 and 22,159 is: 30,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823 : 54,956.22 = 22,159 : x
  2. Step 2: Convert to fraction form
    39,823/54,956.22 = 22,159/x
  3. Step 3: Cross multiply
    39,823x = 54,956.22 × 22,159
  4. Step 4: Simplify right side
    39,823x = 1,217,774,878.98
  5. Step 5: Solve for x
    x = 1,217,774,878.98/39,823
  6. Step 6: Final answer
    x = 30,579.69

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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.