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Finding the Fourth Proportional to 2,138.90, 3,208.41 and 953.06

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Solution

The fourth proportional to 2,138.90, 3,208.41 and 953.06 is: 1,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.90 : 3,208.41 = 953.06 : x
  2. Step 2: Convert to fraction form
    2,138.90/3,208.41 = 953.06/x
  3. Step 3: Cross multiply
    2,138.90x = 3,208.41 × 953.06
  4. Step 4: Simplify right side
    2,138.90x = 3,057,791.19
  5. Step 5: Solve for x
    x = 3,057,791.19/2,138.90
  6. Step 6: Final answer
    x = 1,429.61

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1.5x scale

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.