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Finding the Fourth Proportional to 20,471.68, 30,689.25 and 7,988.80

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Solution

The fourth proportional to 20,471.68, 30,689.25 and 7,988.80 is: 11,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.68 : 30,689.25 = 7,988.80 : x
  2. Step 2: Convert to fraction form
    20,471.68/30,689.25 = 7,988.80/x
  3. Step 3: Cross multiply
    20,471.68x = 30,689.25 × 7,988.80
  4. Step 4: Simplify right side
    20,471.68x = 245,170,384.98
  5. Step 5: Solve for x
    x = 245,170,384.98/20,471.68
  6. Step 6: Final answer
    x = 11,976.08

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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.