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Finding the Fourth Proportional to 6,523.87, 9,784.86 and 2,140.75

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Solution

The fourth proportional to 6,523.87, 9,784.86 and 2,140.75 is: 3,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.87 : 9,784.86 = 2,140.75 : x
  2. Step 2: Convert to fraction form
    6,523.87/9,784.86 = 2,140.75/x
  3. Step 3: Cross multiply
    6,523.87x = 9,784.86 × 2,140.75
  4. Step 4: Simplify right side
    6,523.87x = 20,946,939.05
  5. Step 5: Solve for x
    x = 20,946,939.05/6,523.87
  6. Step 6: Final answer
    x = 3,210.81

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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.