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Finding the Fourth Proportional to 21,867, 32,806.04 and 6,284.64

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Solution

The fourth proportional to 21,867, 32,806.04 and 6,284.64 is: 9,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 32,806.04 = 6,284.64 : x
  2. Step 2: Convert to fraction form
    21,867/32,806.04 = 6,284.64/x
  3. Step 3: Cross multiply
    21,867x = 32,806.04 × 6,284.64
  4. Step 4: Simplify right side
    21,867x = 206,174,151.23
  5. Step 5: Solve for x
    x = 206,174,151.23/21,867
  6. Step 6: Final answer
    x = 9,428.55

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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.