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Finding the Fourth Proportional to 21,805.14, 32,708 and 6,222.76

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Solution

The fourth proportional to 21,805.14, 32,708 and 6,222.76 is: 9,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.14 : 32,708 = 6,222.76 : x
  2. Step 2: Convert to fraction form
    21,805.14/32,708 = 6,222.76/x
  3. Step 3: Cross multiply
    21,805.14x = 32,708 × 6,222.76
  4. Step 4: Simplify right side
    21,805.14x = 203,534,034.08
  5. Step 5: Solve for x
    x = 203,534,034.08/21,805.14
  6. Step 6: Final answer
    x = 9,334.22

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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.