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Finding the Fourth Proportional to 2,093.86, 3,140.81 and 633.07

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Solution

The fourth proportional to 2,093.86, 3,140.81 and 633.07 is: 949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.86 : 3,140.81 = 633.07 : x
  2. Step 2: Convert to fraction form
    2,093.86/3,140.81 = 633.07/x
  3. Step 3: Cross multiply
    2,093.86x = 3,140.81 × 633.07
  4. Step 4: Simplify right side
    2,093.86x = 1,988,341.57
  5. Step 5: Solve for x
    x = 1,988,341.57/2,093.86
  6. Step 6: Final answer
    x = 949.61

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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.