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Finding the Fourth Proportional to 7,221.72, 9,966.40 and 4,035

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Solution

The fourth proportional to 7,221.72, 9,966.40 and 4,035 is: 5,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.72 : 9,966.40 = 4,035 : x
  2. Step 2: Convert to fraction form
    7,221.72/9,966.40 = 4,035/x
  3. Step 3: Cross multiply
    7,221.72x = 9,966.40 × 4,035
  4. Step 4: Simplify right side
    7,221.72x = 40,214,424
  5. Step 5: Solve for x
    x = 40,214,424/7,221.72
  6. Step 6: Final answer
    x = 5,568.54

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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.