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Finding the Fourth Proportional to 11,757.36, 17,637.69 and 3,438

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Solution

The fourth proportional to 11,757.36, 17,637.69 and 3,438 is: 5,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.36 : 17,637.69 = 3,438 : x
  2. Step 2: Convert to fraction form
    11,757.36/17,637.69 = 3,438/x
  3. Step 3: Cross multiply
    11,757.36x = 17,637.69 × 3,438
  4. Step 4: Simplify right side
    11,757.36x = 60,638,391.11
  5. Step 5: Solve for x
    x = 60,638,391.11/11,757.36
  6. Step 6: Final answer
    x = 5,157.48

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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.