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Finding the Fourth Proportional to 3,286.66, 4,931.16 and 2,052.63

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Solution

The fourth proportional to 3,286.66, 4,931.16 and 2,052.63 is: 3,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.66 : 4,931.16 = 2,052.63 : x
  2. Step 2: Convert to fraction form
    3,286.66/4,931.16 = 2,052.63/x
  3. Step 3: Cross multiply
    3,286.66x = 4,931.16 × 2,052.63
  4. Step 4: Simplify right side
    3,286.66x = 10,121,846.95
  5. Step 5: Solve for x
    x = 10,121,846.95/3,286.66
  6. Step 6: Final answer
    x = 3,079.68

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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.