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Finding the Fourth Proportional to 11,499, 17,248.50 and 3,291

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Solution

The fourth proportional to 11,499, 17,248.50 and 3,291 is: 4,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499 : 17,248.50 = 3,291 : x
  2. Step 2: Convert to fraction form
    11,499/17,248.50 = 3,291/x
  3. Step 3: Cross multiply
    11,499x = 17,248.50 × 3,291
  4. Step 4: Simplify right side
    11,499x = 56,764,813.50
  5. Step 5: Solve for x
    x = 56,764,813.50/11,499
  6. Step 6: Final answer
    x = 4,936.50

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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.