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Finding the Fourth Proportional to 6,138.59, 9,210.31 and 2,243.30

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Solution

The fourth proportional to 6,138.59, 9,210.31 and 2,243.30 is: 3,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.59 : 9,210.31 = 2,243.30 : x
  2. Step 2: Convert to fraction form
    6,138.59/9,210.31 = 2,243.30/x
  3. Step 3: Cross multiply
    6,138.59x = 9,210.31 × 2,243.30
  4. Step 4: Simplify right side
    6,138.59x = 20,661,436.76
  5. Step 5: Solve for x
    x = 20,661,436.76/6,138.59
  6. Step 6: Final answer
    x = 3,365.83

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1.5x scale

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.