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Finding the Fourth Proportional to 7,572.21, 11,353.19 and 3,871.43

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Solution

The fourth proportional to 7,572.21, 11,353.19 and 3,871.43 is: 5,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.21 : 11,353.19 = 3,871.43 : x
  2. Step 2: Convert to fraction form
    7,572.21/11,353.19 = 3,871.43/x
  3. Step 3: Cross multiply
    7,572.21x = 11,353.19 × 3,871.43
  4. Step 4: Simplify right side
    7,572.21x = 43,953,004.24
  5. Step 5: Solve for x
    x = 43,953,004.24/7,572.21
  6. Step 6: Final answer
    x = 5,804.51

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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.