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Finding the Fourth Proportional to 11,498, 17,247.96 and 3,290

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Solution

The fourth proportional to 11,498, 17,247.96 and 3,290 is: 4,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498 : 17,247.96 = 3,290 : x
  2. Step 2: Convert to fraction form
    11,498/17,247.96 = 3,290/x
  3. Step 3: Cross multiply
    11,498x = 17,247.96 × 3,290
  4. Step 4: Simplify right side
    11,498x = 56,745,788.40
  5. Step 5: Solve for x
    x = 56,745,788.40/11,498
  6. Step 6: Final answer
    x = 4,935.27

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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.