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Finding the Fourth Proportional to 38,901.07, 53,673.99 and 21,902

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Solution

The fourth proportional to 38,901.07, 53,673.99 and 21,902 is: 30,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.07 : 53,673.99 = 21,902 : x
  2. Step 2: Convert to fraction form
    38,901.07/53,673.99 = 21,902/x
  3. Step 3: Cross multiply
    38,901.07x = 53,673.99 × 21,902
  4. Step 4: Simplify right side
    38,901.07x = 1,175,567,728.98
  5. Step 5: Solve for x
    x = 1,175,567,728.98/38,901.07
  6. Step 6: Final answer
    x = 30,219.42

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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.