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Finding the Fourth Proportional to 8,709.88, 12,019.14 and 5,170.84

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Solution

The fourth proportional to 8,709.88, 12,019.14 and 5,170.84 is: 7,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.88 : 12,019.14 = 5,170.84 : x
  2. Step 2: Convert to fraction form
    8,709.88/12,019.14 = 5,170.84/x
  3. Step 3: Cross multiply
    8,709.88x = 12,019.14 × 5,170.84
  4. Step 4: Simplify right side
    8,709.88x = 62,149,049.88
  5. Step 5: Solve for x
    x = 62,149,049.88/8,709.88
  6. Step 6: Final answer
    x = 7,135.47

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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.