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Finding the Fourth Proportional to 20,157.74, 27,821.28 and 15,078.74

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Solution

The fourth proportional to 20,157.74, 27,821.28 and 15,078.74 is: 20,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.74 : 27,821.28 = 15,078.74 : x
  2. Step 2: Convert to fraction form
    20,157.74/27,821.28 = 15,078.74/x
  3. Step 3: Cross multiply
    20,157.74x = 27,821.28 × 15,078.74
  4. Step 4: Simplify right side
    20,157.74x = 419,509,847.59
  5. Step 5: Solve for x
    x = 419,509,847.59/20,157.74
  6. Step 6: Final answer
    x = 20,811.35

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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.