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Finding the Fourth Proportional to 20,578.80, 30,871.92 and 15,708.96

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Solution

The fourth proportional to 20,578.80, 30,871.92 and 15,708.96 is: 23,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.80 : 30,871.92 = 15,708.96 : x
  2. Step 2: Convert to fraction form
    20,578.80/30,871.92 = 15,708.96/x
  3. Step 3: Cross multiply
    20,578.80x = 30,871.92 × 15,708.96
  4. Step 4: Simplify right side
    20,578.80x = 484,965,756.40
  5. Step 5: Solve for x
    x = 484,965,756.40/20,578.80
  6. Step 6: Final answer
    x = 23,566.28

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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.