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Finding the Fourth Proportional to 20,844, 31,278.96 and 8,532

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Solution

The fourth proportional to 20,844, 31,278.96 and 8,532 is: 12,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 31,278.96 = 8,532 : x
  2. Step 2: Convert to fraction form
    20,844/31,278.96 = 8,532/x
  3. Step 3: Cross multiply
    20,844x = 31,278.96 × 8,532
  4. Step 4: Simplify right side
    20,844x = 266,872,086.72
  5. Step 5: Solve for x
    x = 266,872,086.72/20,844
  6. Step 6: Final answer
    x = 12,803.30

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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.