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Finding the Fourth Proportional to 21,197.80, 31,796.70 and 10,829.80

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Solution

The fourth proportional to 21,197.80, 31,796.70 and 10,829.80 is: 16,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.80 : 31,796.70 = 10,829.80 : x
  2. Step 2: Convert to fraction form
    21,197.80/31,796.70 = 10,829.80/x
  3. Step 3: Cross multiply
    21,197.80x = 31,796.70 × 10,829.80
  4. Step 4: Simplify right side
    21,197.80x = 344,351,901.66
  5. Step 5: Solve for x
    x = 344,351,901.66/21,197.80
  6. Step 6: Final answer
    x = 16,244.70

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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.