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Finding the Fourth Proportional to 21,193.40, 31,814.40 and 12,882.80

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Solution

The fourth proportional to 21,193.40, 31,814.40 and 12,882.80 is: 19,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.40 : 31,814.40 = 12,882.80 : x
  2. Step 2: Convert to fraction form
    21,193.40/31,814.40 = 12,882.80/x
  3. Step 3: Cross multiply
    21,193.40x = 31,814.40 × 12,882.80
  4. Step 4: Simplify right side
    21,193.40x = 409,858,552.32
  5. Step 5: Solve for x
    x = 409,858,552.32/21,193.40
  6. Step 6: Final answer
    x = 19,338.97

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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.