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Finding the Fourth Proportional to 16,763, 23,133.66 and 9,311

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Solution

The fourth proportional to 16,763, 23,133.66 and 9,311 is: 12,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,763 : 23,133.66 = 9,311 : x
  2. Step 2: Convert to fraction form
    16,763/23,133.66 = 9,311/x
  3. Step 3: Cross multiply
    16,763x = 23,133.66 × 9,311
  4. Step 4: Simplify right side
    16,763x = 215,397,508.26
  5. Step 5: Solve for x
    x = 215,397,508.26/16,763
  6. Step 6: Final answer
    x = 12,849.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.