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Finding the Fourth Proportional to 7,202.68, 9,940.49 and 4,178.47

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Solution

The fourth proportional to 7,202.68, 9,940.49 and 4,178.47 is: 5,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.68 : 9,940.49 = 4,178.47 : x
  2. Step 2: Convert to fraction form
    7,202.68/9,940.49 = 4,178.47/x
  3. Step 3: Cross multiply
    7,202.68x = 9,940.49 × 4,178.47
  4. Step 4: Simplify right side
    7,202.68x = 41,535,989.55
  5. Step 5: Solve for x
    x = 41,535,989.55/7,202.68
  6. Step 6: Final answer
    x = 5,766.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.