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Finding the Fourth Proportional to 21,662.61, 32,495.07 and 6,872.71

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Solution

The fourth proportional to 21,662.61, 32,495.07 and 6,872.71 is: 10,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.61 : 32,495.07 = 6,872.71 : x
  2. Step 2: Convert to fraction form
    21,662.61/32,495.07 = 6,872.71/x
  3. Step 3: Cross multiply
    21,662.61x = 32,495.07 × 6,872.71
  4. Step 4: Simplify right side
    21,662.61x = 223,329,192.54
  5. Step 5: Solve for x
    x = 223,329,192.54/21,662.61
  6. Step 6: Final answer
    x = 10,309.43

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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.