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Finding the Fourth Proportional to 2,138.22, 2,950.02 and 1,393.14

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Solution

The fourth proportional to 2,138.22, 2,950.02 and 1,393.14 is: 1,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.22 : 2,950.02 = 1,393.14 : x
  2. Step 2: Convert to fraction form
    2,138.22/2,950.02 = 1,393.14/x
  3. Step 3: Cross multiply
    2,138.22x = 2,950.02 × 1,393.14
  4. Step 4: Simplify right side
    2,138.22x = 4,109,790.86
  5. Step 5: Solve for x
    x = 4,109,790.86/2,138.22
  6. Step 6: Final answer
    x = 1,922.06

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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.