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Finding the Fourth Proportional to 1,272.70, 1,756.31 and 1,168.21

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Solution

The fourth proportional to 1,272.70, 1,756.31 and 1,168.21 is: 1,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.70 : 1,756.31 = 1,168.21 : x
  2. Step 2: Convert to fraction form
    1,272.70/1,756.31 = 1,168.21/x
  3. Step 3: Cross multiply
    1,272.70x = 1,756.31 × 1,168.21
  4. Step 4: Simplify right side
    1,272.70x = 2,051,737.43
  5. Step 5: Solve for x
    x = 2,051,737.43/1,272.70
  6. Step 6: Final answer
    x = 1,612.12

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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.