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Finding the Fourth Proportional to 38,507.72, 57,783.17 and 20,978.78

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Solution

The fourth proportional to 38,507.72, 57,783.17 and 20,978.78 is: 31,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.72 : 57,783.17 = 20,978.78 : x
  2. Step 2: Convert to fraction form
    38,507.72/57,783.17 = 20,978.78/x
  3. Step 3: Cross multiply
    38,507.72x = 57,783.17 × 20,978.78
  4. Step 4: Simplify right side
    38,507.72x = 1,212,220,174.66
  5. Step 5: Solve for x
    x = 1,212,220,174.66/38,507.72
  6. Step 6: Final answer
    x = 31,479.93

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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.