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Finding the Fourth Proportional to 6,805.72, 10,208.46 and 3,877.78

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Solution

The fourth proportional to 6,805.72, 10,208.46 and 3,877.78 is: 5,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.72 : 10,208.46 = 3,877.78 : x
  2. Step 2: Convert to fraction form
    6,805.72/10,208.46 = 3,877.78/x
  3. Step 3: Cross multiply
    6,805.72x = 10,208.46 × 3,877.78
  4. Step 4: Simplify right side
    6,805.72x = 39,586,162.02
  5. Step 5: Solve for x
    x = 39,586,162.02/6,805.72
  6. Step 6: Final answer
    x = 5,816.60

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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.