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Finding the Fourth Proportional to 20,381.44, 28,114.44 and 12,815.78

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Solution

The fourth proportional to 20,381.44, 28,114.44 and 12,815.78 is: 17,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.44 : 28,114.44 = 12,815.78 : x
  2. Step 2: Convert to fraction form
    20,381.44/28,114.44 = 12,815.78/x
  3. Step 3: Cross multiply
    20,381.44x = 28,114.44 × 12,815.78
  4. Step 4: Simplify right side
    20,381.44x = 360,308,273.21
  5. Step 5: Solve for x
    x = 360,308,273.21/20,381.44
  6. Step 6: Final answer
    x = 17,678.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.