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Finding the Fourth Proportional to 20,471.76, 30,706.56 and 10,080

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Solution

The fourth proportional to 20,471.76, 30,706.56 and 10,080 is: 15,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.76 : 30,706.56 = 10,080 : x
  2. Step 2: Convert to fraction form
    20,471.76/30,706.56 = 10,080/x
  3. Step 3: Cross multiply
    20,471.76x = 30,706.56 × 10,080
  4. Step 4: Simplify right side
    20,471.76x = 309,522,124.80
  5. Step 5: Solve for x
    x = 309,522,124.80/20,471.76
  6. Step 6: Final answer
    x = 15,119.47

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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.