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Finding the Fourth Proportional to 10,107, 15,163.56 and 5,180.13

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Solution

The fourth proportional to 10,107, 15,163.56 and 5,180.13 is: 7,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 15,163.56 = 5,180.13 : x
  2. Step 2: Convert to fraction form
    10,107/15,163.56 = 5,180.13/x
  3. Step 3: Cross multiply
    10,107x = 15,163.56 × 5,180.13
  4. Step 4: Simplify right side
    10,107x = 78,549,212.06
  5. Step 5: Solve for x
    x = 78,549,212.06/10,107
  6. Step 6: Final answer
    x = 7,771.76

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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.