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Finding the Fourth Proportional to 21,931, 30,264.90 and 11,995

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Solution

The fourth proportional to 21,931, 30,264.90 and 11,995 is: 16,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931 : 30,264.90 = 11,995 : x
  2. Step 2: Convert to fraction form
    21,931/30,264.90 = 11,995/x
  3. Step 3: Cross multiply
    21,931x = 30,264.90 × 11,995
  4. Step 4: Simplify right side
    21,931x = 363,027,475.50
  5. Step 5: Solve for x
    x = 363,027,475.50/21,931
  6. Step 6: Final answer
    x = 16,553.17

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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.