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Finding the Fourth Proportional to 21,166.77, 31,750.82 and 6,375.80

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Solution

The fourth proportional to 21,166.77, 31,750.82 and 6,375.80 is: 9,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.77 : 31,750.82 = 6,375.80 : x
  2. Step 2: Convert to fraction form
    21,166.77/31,750.82 = 6,375.80/x
  3. Step 3: Cross multiply
    21,166.77x = 31,750.82 × 6,375.80
  4. Step 4: Simplify right side
    21,166.77x = 202,436,687.52
  5. Step 5: Solve for x
    x = 202,436,687.52/21,166.77
  6. Step 6: Final answer
    x = 9,563.89

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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.