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Finding the Fourth Proportional to 20,340, 30,510.18 and 8,028

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Solution

The fourth proportional to 20,340, 30,510.18 and 8,028 is: 12,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 30,510.18 = 8,028 : x
  2. Step 2: Convert to fraction form
    20,340/30,510.18 = 8,028/x
  3. Step 3: Cross multiply
    20,340x = 30,510.18 × 8,028
  4. Step 4: Simplify right side
    20,340x = 244,935,725.04
  5. Step 5: Solve for x
    x = 244,935,725.04/20,340
  6. Step 6: Final answer
    x = 12,042.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.