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Finding the Fourth Proportional to 7,574.96, 10,454.28 and 6,728.96

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Solution

The fourth proportional to 7,574.96, 10,454.28 and 6,728.96 is: 9,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.96 : 10,454.28 = 6,728.96 : x
  2. Step 2: Convert to fraction form
    7,574.96/10,454.28 = 6,728.96/x
  3. Step 3: Cross multiply
    7,574.96x = 10,454.28 × 6,728.96
  4. Step 4: Simplify right side
    7,574.96x = 70,346,431.95
  5. Step 5: Solve for x
    x = 70,346,431.95/7,574.96
  6. Step 6: Final answer
    x = 9,286.71

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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.