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Finding the Fourth Proportional to 21,993, 30,350.34 and 12,057

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Solution

The fourth proportional to 21,993, 30,350.34 and 12,057 is: 16,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993 : 30,350.34 = 12,057 : x
  2. Step 2: Convert to fraction form
    21,993/30,350.34 = 12,057/x
  3. Step 3: Cross multiply
    21,993x = 30,350.34 × 12,057
  4. Step 4: Simplify right side
    21,993x = 365,934,049.38
  5. Step 5: Solve for x
    x = 365,934,049.38/21,993
  6. Step 6: Final answer
    x = 16,638.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.