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Finding the Fourth Proportional to 21,945, 30,284.86 and 12,009

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Solution

The fourth proportional to 21,945, 30,284.86 and 12,009 is: 16,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 30,284.86 = 12,009 : x
  2. Step 2: Convert to fraction form
    21,945/30,284.86 = 12,009/x
  3. Step 3: Cross multiply
    21,945x = 30,284.86 × 12,009
  4. Step 4: Simplify right side
    21,945x = 363,690,883.74
  5. Step 5: Solve for x
    x = 363,690,883.74/21,945
  6. Step 6: Final answer
    x = 16,572.84

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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.