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Finding the Fourth Proportional to 20,978.04, 31,467.12 and 10,582.56

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Solution

The fourth proportional to 20,978.04, 31,467.12 and 10,582.56 is: 15,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.04 : 31,467.12 = 10,582.56 : x
  2. Step 2: Convert to fraction form
    20,978.04/31,467.12 = 10,582.56/x
  3. Step 3: Cross multiply
    20,978.04x = 31,467.12 × 10,582.56
  4. Step 4: Simplify right side
    20,978.04x = 333,002,685.43
  5. Step 5: Solve for x
    x = 333,002,685.43/20,978.04
  6. Step 6: Final answer
    x = 15,873.87

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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.