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Finding the Fourth Proportional to 3,661.53, 5,052.90 and 1,982.94

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Solution

The fourth proportional to 3,661.53, 5,052.90 and 1,982.94 is: 2,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.53 : 5,052.90 = 1,982.94 : x
  2. Step 2: Convert to fraction form
    3,661.53/5,052.90 = 1,982.94/x
  3. Step 3: Cross multiply
    3,661.53x = 5,052.90 × 1,982.94
  4. Step 4: Simplify right side
    3,661.53x = 10,019,597.53
  5. Step 5: Solve for x
    x = 10,019,597.53/3,661.53
  6. Step 6: Final answer
    x = 2,736.45

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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.