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Finding the Fourth Proportional to 7,352.47, 10,142.30 and 4,517.87

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Solution

The fourth proportional to 7,352.47, 10,142.30 and 4,517.87 is: 6,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.47 : 10,142.30 = 4,517.87 : x
  2. Step 2: Convert to fraction form
    7,352.47/10,142.30 = 4,517.87/x
  3. Step 3: Cross multiply
    7,352.47x = 10,142.30 × 4,517.87
  4. Step 4: Simplify right side
    7,352.47x = 45,821,570.31
  5. Step 5: Solve for x
    x = 45,821,570.31/7,352.47
  6. Step 6: Final answer
    x = 6,232.14

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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.