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Finding the Fourth Proportional to 21,163.30, 31,747.11 and 7,310.50

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Solution

The fourth proportional to 21,163.30, 31,747.11 and 7,310.50 is: 10,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.30 : 31,747.11 = 7,310.50 : x
  2. Step 2: Convert to fraction form
    21,163.30/31,747.11 = 7,310.50/x
  3. Step 3: Cross multiply
    21,163.30x = 31,747.11 × 7,310.50
  4. Step 4: Simplify right side
    21,163.30x = 232,087,247.66
  5. Step 5: Solve for x
    x = 232,087,247.66/21,163.30
  6. Step 6: Final answer
    x = 10,966.50

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1.5x scale

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.