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Finding the Fourth Proportional to 38,665, 53,357.70 and 21,001

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Solution

The fourth proportional to 38,665, 53,357.70 and 21,001 is: 28,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665 : 53,357.70 = 21,001 : x
  2. Step 2: Convert to fraction form
    38,665/53,357.70 = 21,001/x
  3. Step 3: Cross multiply
    38,665x = 53,357.70 × 21,001
  4. Step 4: Simplify right side
    38,665x = 1,120,565,057.70
  5. Step 5: Solve for x
    x = 1,120,565,057.70/38,665
  6. Step 6: Final answer
    x = 28,981.38

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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.