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Finding the Fourth Proportional to 8,207.80, 11,403.23 and 8,109.39

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Solution

The fourth proportional to 8,207.80, 11,403.23 and 8,109.39 is: 11,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.80 : 11,403.23 = 8,109.39 : x
  2. Step 2: Convert to fraction form
    8,207.80/11,403.23 = 8,109.39/x
  3. Step 3: Cross multiply
    8,207.80x = 11,403.23 × 8,109.39
  4. Step 4: Simplify right side
    8,207.80x = 92,473,162.04
  5. Step 5: Solve for x
    x = 92,473,162.04/8,207.80
  6. Step 6: Final answer
    x = 11,266.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.