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Finding the Fourth Proportional to 11,656, 17,479.88 and 3,758.20

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Solution

The fourth proportional to 11,656, 17,479.88 and 3,758.20 is: 5,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 17,479.88 = 3,758.20 : x
  2. Step 2: Convert to fraction form
    11,656/17,479.88 = 3,758.20/x
  3. Step 3: Cross multiply
    11,656x = 17,479.88 × 3,758.20
  4. Step 4: Simplify right side
    11,656x = 65,692,885.02
  5. Step 5: Solve for x
    x = 65,692,885.02/11,656
  6. Step 6: Final answer
    x = 5,635.97

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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.