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Finding the Fourth Proportional to 2,707.05, 3,732.13 and 2,149.37

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Solution

The fourth proportional to 2,707.05, 3,732.13 and 2,149.37 is: 2,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.05 : 3,732.13 = 2,149.37 : x
  2. Step 2: Convert to fraction form
    2,707.05/3,732.13 = 2,149.37/x
  3. Step 3: Cross multiply
    2,707.05x = 3,732.13 × 2,149.37
  4. Step 4: Simplify right side
    2,707.05x = 8,021,714.19
  5. Step 5: Solve for x
    x = 8,021,714.19/2,707.05
  6. Step 6: Final answer
    x = 2,963.26

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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.