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Finding the Fourth Proportional to 7,180.57, 10,747.81 and 3,840.47

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Solution

The fourth proportional to 7,180.57, 10,747.81 and 3,840.47 is: 5,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.57 : 10,747.81 = 3,840.47 : x
  2. Step 2: Convert to fraction form
    7,180.57/10,747.81 = 3,840.47/x
  3. Step 3: Cross multiply
    7,180.57x = 10,747.81 × 3,840.47
  4. Step 4: Simplify right side
    7,180.57x = 41,276,641.87
  5. Step 5: Solve for x
    x = 41,276,641.87/7,180.57
  6. Step 6: Final answer
    x = 5,748.38

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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.