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Finding the Fourth Proportional to 6,850.78, 10,275.80 and 3,750.37

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Solution

The fourth proportional to 6,850.78, 10,275.80 and 3,750.37 is: 5,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.78 : 10,275.80 = 3,750.37 : x
  2. Step 2: Convert to fraction form
    6,850.78/10,275.80 = 3,750.37/x
  3. Step 3: Cross multiply
    6,850.78x = 10,275.80 × 3,750.37
  4. Step 4: Simplify right side
    6,850.78x = 38,538,007.60
  5. Step 5: Solve for x
    x = 38,538,007.60/6,850.78
  6. Step 6: Final answer
    x = 5,625.35

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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.