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Finding the Fourth Proportional to 20,534.88, 28,338 and 11,103.40

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Solution

The fourth proportional to 20,534.88, 28,338 and 11,103.40 is: 15,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.88 : 28,338 = 11,103.40 : x
  2. Step 2: Convert to fraction form
    20,534.88/28,338 = 11,103.40/x
  3. Step 3: Cross multiply
    20,534.88x = 28,338 × 11,103.40
  4. Step 4: Simplify right side
    20,534.88x = 314,648,149.20
  5. Step 5: Solve for x
    x = 314,648,149.20/20,534.88
  6. Step 6: Final answer
    x = 15,322.62

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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.