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Finding the Fourth Proportional to 21,754, 30,020.76 and 11,818

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Solution

The fourth proportional to 21,754, 30,020.76 and 11,818 is: 16,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754 : 30,020.76 = 11,818 : x
  2. Step 2: Convert to fraction form
    21,754/30,020.76 = 11,818/x
  3. Step 3: Cross multiply
    21,754x = 30,020.76 × 11,818
  4. Step 4: Simplify right side
    21,754x = 354,785,341.68
  5. Step 5: Solve for x
    x = 354,785,341.68/21,754
  6. Step 6: Final answer
    x = 16,308.97

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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.