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Finding the Fourth Proportional to 2,138.76, 3,203.70 and 1,095.62

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Solution

The fourth proportional to 2,138.76, 3,203.70 and 1,095.62 is: 1,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 3,203.70 = 1,095.62 : x
  2. Step 2: Convert to fraction form
    2,138.76/3,203.70 = 1,095.62/x
  3. Step 3: Cross multiply
    2,138.76x = 3,203.70 × 1,095.62
  4. Step 4: Simplify right side
    2,138.76x = 3,510,021.78
  5. Step 5: Solve for x
    x = 3,510,021.78/2,138.76
  6. Step 6: Final answer
    x = 1,641.15

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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.