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Finding the Fourth Proportional to 5,370, 7,410.62 and 3,133.42

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Solution

The fourth proportional to 5,370, 7,410.62 and 3,133.42 is: 4,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 7,410.62 = 3,133.42 : x
  2. Step 2: Convert to fraction form
    5,370/7,410.62 = 3,133.42/x
  3. Step 3: Cross multiply
    5,370x = 7,410.62 × 3,133.42
  4. Step 4: Simplify right side
    5,370x = 23,220,584.92
  5. Step 5: Solve for x
    x = 23,220,584.92/5,370
  6. Step 6: Final answer
    x = 4,324.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.