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Finding the Fourth Proportional to 8,537.68, 11,789 and 8,102.80

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Solution

The fourth proportional to 8,537.68, 11,789 and 8,102.80 is: 11,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.68 : 11,789 = 8,102.80 : x
  2. Step 2: Convert to fraction form
    8,537.68/11,789 = 8,102.80/x
  3. Step 3: Cross multiply
    8,537.68x = 11,789 × 8,102.80
  4. Step 4: Simplify right side
    8,537.68x = 95,523,909.20
  5. Step 5: Solve for x
    x = 95,523,909.20/8,537.68
  6. Step 6: Final answer
    x = 11,188.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.