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Finding the Fourth Proportional to 20,854.78, 28,771.59 and 11,902.78

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Solution

The fourth proportional to 20,854.78, 28,771.59 and 11,902.78 is: 16,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.78 : 28,771.59 = 11,902.78 : x
  2. Step 2: Convert to fraction form
    20,854.78/28,771.59 = 11,902.78/x
  3. Step 3: Cross multiply
    20,854.78x = 28,771.59 × 11,902.78
  4. Step 4: Simplify right side
    20,854.78x = 342,461,906.02
  5. Step 5: Solve for x
    x = 342,461,906.02/20,854.78
  6. Step 6: Final answer
    x = 16,421.27

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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.