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Finding the Fourth Proportional to 21,944, 30,282.80 and 12,008

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Solution

The fourth proportional to 21,944, 30,282.80 and 12,008 is: 16,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,944 : 30,282.80 = 12,008 : x
  2. Step 2: Convert to fraction form
    21,944/30,282.80 = 12,008/x
  3. Step 3: Cross multiply
    21,944x = 30,282.80 × 12,008
  4. Step 4: Simplify right side
    21,944x = 363,635,862.40
  5. Step 5: Solve for x
    x = 363,635,862.40/21,944
  6. Step 6: Final answer
    x = 16,571.08

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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.