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Finding the Fourth Proportional to 38,919, 53,708.28 and 22,152

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Solution

The fourth proportional to 38,919, 53,708.28 and 22,152 is: 30,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,919 : 53,708.28 = 22,152 : x
  2. Step 2: Convert to fraction form
    38,919/53,708.28 = 22,152/x
  3. Step 3: Cross multiply
    38,919x = 53,708.28 × 22,152
  4. Step 4: Simplify right side
    38,919x = 1,189,745,818.56
  5. Step 5: Solve for x
    x = 1,189,745,818.56/38,919
  6. Step 6: Final answer
    x = 30,569.79

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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.