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Finding the Fourth Proportional to 7,406.48, 10,221.16 and 4,049.60

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Solution

The fourth proportional to 7,406.48, 10,221.16 and 4,049.60 is: 5,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.48 : 10,221.16 = 4,049.60 : x
  2. Step 2: Convert to fraction form
    7,406.48/10,221.16 = 4,049.60/x
  3. Step 3: Cross multiply
    7,406.48x = 10,221.16 × 4,049.60
  4. Step 4: Simplify right side
    7,406.48x = 41,391,609.54
  5. Step 5: Solve for x
    x = 41,391,609.54/7,406.48
  6. Step 6: Final answer
    x = 5,588.57

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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.