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Finding the Fourth Proportional to 20,878.25, 28,811.99 and 11,446.88

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Solution

The fourth proportional to 20,878.25, 28,811.99 and 11,446.88 is: 15,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.25 : 28,811.99 = 11,446.88 : x
  2. Step 2: Convert to fraction form
    20,878.25/28,811.99 = 11,446.88/x
  3. Step 3: Cross multiply
    20,878.25x = 28,811.99 × 11,446.88
  4. Step 4: Simplify right side
    20,878.25x = 329,807,392.09
  5. Step 5: Solve for x
    x = 329,807,392.09/20,878.25
  6. Step 6: Final answer
    x = 15,796.70

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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.