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Finding the Fourth Proportional to 9,085, 13,620.14 and 2,841.80

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Solution

The fourth proportional to 9,085, 13,620.14 and 2,841.80 is: 4,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 13,620.14 = 2,841.80 : x
  2. Step 2: Convert to fraction form
    9,085/13,620.14 = 2,841.80/x
  3. Step 3: Cross multiply
    9,085x = 13,620.14 × 2,841.80
  4. Step 4: Simplify right side
    9,085x = 38,705,713.85
  5. Step 5: Solve for x
    x = 38,705,713.85/9,085
  6. Step 6: Final answer
    x = 4,260.40

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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.