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Finding the Fourth Proportional to 3,424, 5,136.24 and 1,372

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Solution

The fourth proportional to 3,424, 5,136.24 and 1,372 is: 2,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 5,136.24 = 1,372 : x
  2. Step 2: Convert to fraction form
    3,424/5,136.24 = 1,372/x
  3. Step 3: Cross multiply
    3,424x = 5,136.24 × 1,372
  4. Step 4: Simplify right side
    3,424x = 7,046,921.28
  5. Step 5: Solve for x
    x = 7,046,921.28/3,424
  6. Step 6: Final answer
    x = 2,058.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.