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Finding the Fourth Proportional to 38,100, 52,578 and 21,333.36

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Solution

The fourth proportional to 38,100, 52,578 and 21,333.36 is: 29,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 52,578 = 21,333.36 : x
  2. Step 2: Convert to fraction form
    38,100/52,578 = 21,333.36/x
  3. Step 3: Cross multiply
    38,100x = 52,578 × 21,333.36
  4. Step 4: Simplify right side
    38,100x = 1,121,665,402.08
  5. Step 5: Solve for x
    x = 1,121,665,402.08/38,100
  6. Step 6: Final answer
    x = 29,440.04

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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.