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Finding the Fourth Proportional to 5,407.45, 7,462.34 and 3,170.65

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Solution

The fourth proportional to 5,407.45, 7,462.34 and 3,170.65 is: 4,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.45 : 7,462.34 = 3,170.65 : x
  2. Step 2: Convert to fraction form
    5,407.45/7,462.34 = 3,170.65/x
  3. Step 3: Cross multiply
    5,407.45x = 7,462.34 × 3,170.65
  4. Step 4: Simplify right side
    5,407.45x = 23,660,452.47
  5. Step 5: Solve for x
    x = 23,660,452.47/5,407.45
  6. Step 6: Final answer
    x = 4,375.53

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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.