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Finding the Fourth Proportional to 38,383.52, 57,575.28 and 21,956

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Solution

The fourth proportional to 38,383.52, 57,575.28 and 21,956 is: 32,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,383.52 : 57,575.28 = 21,956 : x
  2. Step 2: Convert to fraction form
    38,383.52/57,575.28 = 21,956/x
  3. Step 3: Cross multiply
    38,383.52x = 57,575.28 × 21,956
  4. Step 4: Simplify right side
    38,383.52x = 1,264,122,847.68
  5. Step 5: Solve for x
    x = 1,264,122,847.68/38,383.52
  6. Step 6: Final answer
    x = 32,934.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.