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Finding the Fourth Proportional to 11,309, 16,963.98 and 3,101

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Solution

The fourth proportional to 11,309, 16,963.98 and 3,101 is: 4,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 16,963.98 = 3,101 : x
  2. Step 2: Convert to fraction form
    11,309/16,963.98 = 3,101/x
  3. Step 3: Cross multiply
    11,309x = 16,963.98 × 3,101
  4. Step 4: Simplify right side
    11,309x = 52,605,301.98
  5. Step 5: Solve for x
    x = 52,605,301.98/11,309
  6. Step 6: Final answer
    x = 4,651.63

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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.