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Finding the Fourth Proportional to 21,542, 32,313 and 6,950

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Solution

The fourth proportional to 21,542, 32,313 and 6,950 is: 10,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542 : 32,313 = 6,950 : x
  2. Step 2: Convert to fraction form
    21,542/32,313 = 6,950/x
  3. Step 3: Cross multiply
    21,542x = 32,313 × 6,950
  4. Step 4: Simplify right side
    21,542x = 224,575,350
  5. Step 5: Solve for x
    x = 224,575,350/21,542
  6. Step 6: Final answer
    x = 10,425

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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.