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Finding the Fourth Proportional to 16,163.78, 22,281.93 and 9,871.94

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Solution

The fourth proportional to 16,163.78, 22,281.93 and 9,871.94 is: 13,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.78 : 22,281.93 = 9,871.94 : x
  2. Step 2: Convert to fraction form
    16,163.78/22,281.93 = 9,871.94/x
  3. Step 3: Cross multiply
    16,163.78x = 22,281.93 × 9,871.94
  4. Step 4: Simplify right side
    16,163.78x = 219,965,876.04
  5. Step 5: Solve for x
    x = 219,965,876.04/16,163.78
  6. Step 6: Final answer
    x = 13,608.57

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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.