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Finding the Fourth Proportional to 20,851, 28,774.38 and 11,419.90

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Solution

The fourth proportional to 20,851, 28,774.38 and 11,419.90 is: 15,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851 : 28,774.38 = 11,419.90 : x
  2. Step 2: Convert to fraction form
    20,851/28,774.38 = 11,419.90/x
  3. Step 3: Cross multiply
    20,851x = 28,774.38 × 11,419.90
  4. Step 4: Simplify right side
    20,851x = 328,600,542.16
  5. Step 5: Solve for x
    x = 328,600,542.16/20,851
  6. Step 6: Final answer
    x = 15,759.46

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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.