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Finding the Fourth Proportional to 7,412.75, 11,102.42 and 5,201.43

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Solution

The fourth proportional to 7,412.75, 11,102.42 and 5,201.43 is: 7,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.75 : 11,102.42 = 5,201.43 : x
  2. Step 2: Convert to fraction form
    7,412.75/11,102.42 = 5,201.43/x
  3. Step 3: Cross multiply
    7,412.75x = 11,102.42 × 5,201.43
  4. Step 4: Simplify right side
    7,412.75x = 57,748,460.46
  5. Step 5: Solve for x
    x = 57,748,460.46/7,412.75
  6. Step 6: Final answer
    x = 7,790.42

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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.