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Finding the Fourth Proportional to 38,920, 53,709.66 and 22,153

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Solution

The fourth proportional to 38,920, 53,709.66 and 22,153 is: 30,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920 : 53,709.66 = 22,153 : x
  2. Step 2: Convert to fraction form
    38,920/53,709.66 = 22,153/x
  3. Step 3: Cross multiply
    38,920x = 53,709.66 × 22,153
  4. Step 4: Simplify right side
    38,920x = 1,189,830,097.98
  5. Step 5: Solve for x
    x = 1,189,830,097.98/38,920
  6. Step 6: Final answer
    x = 30,571.17

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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.