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Finding the Fourth Proportional to 3,153.81, 4,351.86 and 1,894.68

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Solution

The fourth proportional to 3,153.81, 4,351.86 and 1,894.68 is: 2,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.81 : 4,351.86 = 1,894.68 : x
  2. Step 2: Convert to fraction form
    3,153.81/4,351.86 = 1,894.68/x
  3. Step 3: Cross multiply
    3,153.81x = 4,351.86 × 1,894.68
  4. Step 4: Simplify right side
    3,153.81x = 8,245,382.10
  5. Step 5: Solve for x
    x = 8,245,382.10/3,153.81
  6. Step 6: Final answer
    x = 2,614.42

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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.