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Finding the Fourth Proportional to 3,172.40, 4,375.88 and 2,052.88

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Solution

The fourth proportional to 3,172.40, 4,375.88 and 2,052.88 is: 2,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.40 : 4,375.88 = 2,052.88 : x
  2. Step 2: Convert to fraction form
    3,172.40/4,375.88 = 2,052.88/x
  3. Step 3: Cross multiply
    3,172.40x = 4,375.88 × 2,052.88
  4. Step 4: Simplify right side
    3,172.40x = 8,983,156.53
  5. Step 5: Solve for x
    x = 8,983,156.53/3,172.40
  6. Step 6: Final answer
    x = 2,831.66

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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.