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Finding the Fourth Proportional to 21,245.69, 31,869.13 and 7,205.75

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Solution

The fourth proportional to 21,245.69, 31,869.13 and 7,205.75 is: 10,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.69 : 31,869.13 = 7,205.75 : x
  2. Step 2: Convert to fraction form
    21,245.69/31,869.13 = 7,205.75/x
  3. Step 3: Cross multiply
    21,245.69x = 31,869.13 × 7,205.75
  4. Step 4: Simplify right side
    21,245.69x = 229,640,983.50
  5. Step 5: Solve for x
    x = 229,640,983.50/21,245.69
  6. Step 6: Final answer
    x = 10,808.83

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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.