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Finding the Fourth Proportional to 20,902.88, 28,846.01 and 11,471.42

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Solution

The fourth proportional to 20,902.88, 28,846.01 and 11,471.42 is: 15,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.88 : 28,846.01 = 11,471.42 : x
  2. Step 2: Convert to fraction form
    20,902.88/28,846.01 = 11,471.42/x
  3. Step 3: Cross multiply
    20,902.88x = 28,846.01 × 11,471.42
  4. Step 4: Simplify right side
    20,902.88x = 330,904,580.48
  5. Step 5: Solve for x
    x = 330,904,580.48/20,902.88
  6. Step 6: Final answer
    x = 15,830.58

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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.