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Finding the Fourth Proportional to 38,872.80, 53,648.64 and 22,104

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Solution

The fourth proportional to 38,872.80, 53,648.64 and 22,104 is: 30,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.80 : 53,648.64 = 22,104 : x
  2. Step 2: Convert to fraction form
    38,872.80/53,648.64 = 22,104/x
  3. Step 3: Cross multiply
    38,872.80x = 53,648.64 × 22,104
  4. Step 4: Simplify right side
    38,872.80x = 1,185,849,538.56
  5. Step 5: Solve for x
    x = 1,185,849,538.56/38,872.80
  6. Step 6: Final answer
    x = 30,505.89

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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.