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Finding the Fourth Proportional to 7,137.60, 10,709.12 and 4,945.12

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Solution

The fourth proportional to 7,137.60, 10,709.12 and 4,945.12 is: 7,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.60 : 10,709.12 = 4,945.12 : x
  2. Step 2: Convert to fraction form
    7,137.60/10,709.12 = 4,945.12/x
  3. Step 3: Cross multiply
    7,137.60x = 10,709.12 × 4,945.12
  4. Step 4: Simplify right side
    7,137.60x = 52,957,883.49
  5. Step 5: Solve for x
    x = 52,957,883.49/7,137.60
  6. Step 6: Final answer
    x = 7,419.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.