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Finding the Fourth Proportional to 7,340.40, 10,991.16 and 4,414.68

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Solution

The fourth proportional to 7,340.40, 10,991.16 and 4,414.68 is: 6,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.40 : 10,991.16 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    7,340.40/10,991.16 = 4,414.68/x
  3. Step 3: Cross multiply
    7,340.40x = 10,991.16 × 4,414.68
  4. Step 4: Simplify right side
    7,340.40x = 48,522,454.23
  5. Step 5: Solve for x
    x = 48,522,454.23/7,340.40
  6. Step 6: Final answer
    x = 6,610.33

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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.