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Finding the Fourth Proportional to 10,113.96, 15,170.94 and 3,189

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Solution

The fourth proportional to 10,113.96, 15,170.94 and 3,189 is: 4,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.96 : 15,170.94 = 3,189 : x
  2. Step 2: Convert to fraction form
    10,113.96/15,170.94 = 3,189/x
  3. Step 3: Cross multiply
    10,113.96x = 15,170.94 × 3,189
  4. Step 4: Simplify right side
    10,113.96x = 48,380,127.66
  5. Step 5: Solve for x
    x = 48,380,127.66/10,113.96
  6. Step 6: Final answer
    x = 4,783.50

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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.