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Finding the Fourth Proportional to 6,892.56, 10,340.46 and 1,962.09

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Solution

The fourth proportional to 6,892.56, 10,340.46 and 1,962.09 is: 2,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.56 : 10,340.46 = 1,962.09 : x
  2. Step 2: Convert to fraction form
    6,892.56/10,340.46 = 1,962.09/x
  3. Step 3: Cross multiply
    6,892.56x = 10,340.46 × 1,962.09
  4. Step 4: Simplify right side
    6,892.56x = 20,288,913.16
  5. Step 5: Solve for x
    x = 20,288,913.16/6,892.56
  6. Step 6: Final answer
    x = 2,943.60

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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.