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Finding the Fourth Proportional to 3,812.76, 5,720.09 and 1,180.13

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Solution

The fourth proportional to 3,812.76, 5,720.09 and 1,180.13 is: 1,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.76 : 5,720.09 = 1,180.13 : x
  2. Step 2: Convert to fraction form
    3,812.76/5,720.09 = 1,180.13/x
  3. Step 3: Cross multiply
    3,812.76x = 5,720.09 × 1,180.13
  4. Step 4: Simplify right side
    3,812.76x = 6,750,415.31
  5. Step 5: Solve for x
    x = 6,750,415.31/3,812.76
  6. Step 6: Final answer
    x = 1,770.48

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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.