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Finding the Fourth Proportional to 20,878.92, 28,813.20 and 11,446.86

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Solution

The fourth proportional to 20,878.92, 28,813.20 and 11,446.86 is: 15,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.92 : 28,813.20 = 11,446.86 : x
  2. Step 2: Convert to fraction form
    20,878.92/28,813.20 = 11,446.86/x
  3. Step 3: Cross multiply
    20,878.92x = 28,813.20 × 11,446.86
  4. Step 4: Simplify right side
    20,878.92x = 329,820,666.55
  5. Step 5: Solve for x
    x = 329,820,666.55/20,878.92
  6. Step 6: Final answer
    x = 15,796.83

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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.