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Finding the Fourth Proportional to 11,347.32, 17,021 and 3,449.88

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Solution

The fourth proportional to 11,347.32, 17,021 and 3,449.88 is: 5,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.32 : 17,021 = 3,449.88 : x
  2. Step 2: Convert to fraction form
    11,347.32/17,021 = 3,449.88/x
  3. Step 3: Cross multiply
    11,347.32x = 17,021 × 3,449.88
  4. Step 4: Simplify right side
    11,347.32x = 58,720,407.48
  5. Step 5: Solve for x
    x = 58,720,407.48/11,347.32
  6. Step 6: Final answer
    x = 5,174.83

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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.