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Finding the Fourth Proportional to 8,207.55, 11,402.88 and 8,109.14

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Solution

The fourth proportional to 8,207.55, 11,402.88 and 8,109.14 is: 11,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.55 : 11,402.88 = 8,109.14 : x
  2. Step 2: Convert to fraction form
    8,207.55/11,402.88 = 8,109.14/x
  3. Step 3: Cross multiply
    8,207.55x = 11,402.88 × 8,109.14
  4. Step 4: Simplify right side
    8,207.55x = 92,467,493.31
  5. Step 5: Solve for x
    x = 92,467,493.31/8,207.55
  6. Step 6: Final answer
    x = 11,266.15

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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.