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Finding the Fourth Proportional to 3,101.70, 4,651.20 and 1,252.20

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Solution

The fourth proportional to 3,101.70, 4,651.20 and 1,252.20 is: 1,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.70 : 4,651.20 = 1,252.20 : x
  2. Step 2: Convert to fraction form
    3,101.70/4,651.20 = 1,252.20/x
  3. Step 3: Cross multiply
    3,101.70x = 4,651.20 × 1,252.20
  4. Step 4: Simplify right side
    3,101.70x = 5,824,232.64
  5. Step 5: Solve for x
    x = 5,824,232.64/3,101.70
  6. Step 6: Final answer
    x = 1,877.75

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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.