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Finding the Fourth Proportional to 38,921, 53,711.04 and 22,154

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Solution

The fourth proportional to 38,921, 53,711.04 and 22,154 is: 30,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,921 : 53,711.04 = 22,154 : x
  2. Step 2: Convert to fraction form
    38,921/53,711.04 = 22,154/x
  3. Step 3: Cross multiply
    38,921x = 53,711.04 × 22,154
  4. Step 4: Simplify right side
    38,921x = 1,189,914,380.16
  5. Step 5: Solve for x
    x = 1,189,914,380.16/38,921
  6. Step 6: Final answer
    x = 30,572.55

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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.