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Finding the Fourth Proportional to 10,112.71, 15,169.07 and 3,187.75

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Solution

The fourth proportional to 10,112.71, 15,169.07 and 3,187.75 is: 4,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.71 : 15,169.07 = 3,187.75 : x
  2. Step 2: Convert to fraction form
    10,112.71/15,169.07 = 3,187.75/x
  3. Step 3: Cross multiply
    10,112.71x = 15,169.07 × 3,187.75
  4. Step 4: Simplify right side
    10,112.71x = 48,355,202.89
  5. Step 5: Solve for x
    x = 48,355,202.89/10,112.71
  6. Step 6: Final answer
    x = 4,781.63

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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.