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Finding the Fourth Proportional to 21,651.43, 32,478.05 and 6,860.02

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Solution

The fourth proportional to 21,651.43, 32,478.05 and 6,860.02 is: 10,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.43 : 32,478.05 = 6,860.02 : x
  2. Step 2: Convert to fraction form
    21,651.43/32,478.05 = 6,860.02/x
  3. Step 3: Cross multiply
    21,651.43x = 32,478.05 × 6,860.02
  4. Step 4: Simplify right side
    21,651.43x = 222,800,072.56
  5. Step 5: Solve for x
    x = 222,800,072.56/21,651.43
  6. Step 6: Final answer
    x = 10,290.32

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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.