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Finding the Fourth Proportional to 5,371, 7,412 and 3,134.42

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Solution

The fourth proportional to 5,371, 7,412 and 3,134.42 is: 4,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371 : 7,412 = 3,134.42 : x
  2. Step 2: Convert to fraction form
    5,371/7,412 = 3,134.42/x
  3. Step 3: Cross multiply
    5,371x = 7,412 × 3,134.42
  4. Step 4: Simplify right side
    5,371x = 23,232,321.04
  5. Step 5: Solve for x
    x = 23,232,321.04/5,371
  6. Step 6: Final answer
    x = 4,325.51

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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.