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Finding the Fourth Proportional to 38,881.42, 53,661.53 and 21,889

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Solution

The fourth proportional to 38,881.42, 53,661.53 and 21,889 is: 30,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.42 : 53,661.53 = 21,889 : x
  2. Step 2: Convert to fraction form
    38,881.42/53,661.53 = 21,889/x
  3. Step 3: Cross multiply
    38,881.42x = 53,661.53 × 21,889
  4. Step 4: Simplify right side
    38,881.42x = 1,174,597,230.17
  5. Step 5: Solve for x
    x = 1,174,597,230.17/38,881.42
  6. Step 6: Final answer
    x = 30,209.73

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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.