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Finding the Fourth Proportional to 7,674.20, 11,489.70 and 7,458.20

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Solution

The fourth proportional to 7,674.20, 11,489.70 and 7,458.20 is: 11,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.20 : 11,489.70 = 7,458.20 : x
  2. Step 2: Convert to fraction form
    7,674.20/11,489.70 = 7,458.20/x
  3. Step 3: Cross multiply
    7,674.20x = 11,489.70 × 7,458.20
  4. Step 4: Simplify right side
    7,674.20x = 85,692,480.54
  5. Step 5: Solve for x
    x = 85,692,480.54/7,674.20
  6. Step 6: Final answer
    x = 11,166.31

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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.