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Finding the Fourth Proportional to 7,414.80, 10,232.60 and 4,430.09

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Solution

The fourth proportional to 7,414.80, 10,232.60 and 4,430.09 is: 6,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.80 : 10,232.60 = 4,430.09 : x
  2. Step 2: Convert to fraction form
    7,414.80/10,232.60 = 4,430.09/x
  3. Step 3: Cross multiply
    7,414.80x = 10,232.60 × 4,430.09
  4. Step 4: Simplify right side
    7,414.80x = 45,331,338.93
  5. Step 5: Solve for x
    x = 45,331,338.93/7,414.80
  6. Step 6: Final answer
    x = 6,113.63

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