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Finding the Fourth Proportional to 10,200, 15,290.88 and 5,811.12

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Solution

The fourth proportional to 10,200, 15,290.88 and 5,811.12 is: 8,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 15,290.88 = 5,811.12 : x
  2. Step 2: Convert to fraction form
    10,200/15,290.88 = 5,811.12/x
  3. Step 3: Cross multiply
    10,200x = 15,290.88 × 5,811.12
  4. Step 4: Simplify right side
    10,200x = 88,857,138.59
  5. Step 5: Solve for x
    x = 88,857,138.59/10,200
  6. Step 6: Final answer
    x = 8,711.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.