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Finding the Fourth Proportional to 3,894.81, 5,853.42 and 3,240.74

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Solution

The fourth proportional to 3,894.81, 5,853.42 and 3,240.74 is: 4,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.81 : 5,853.42 = 3,240.74 : x
  2. Step 2: Convert to fraction form
    3,894.81/5,853.42 = 3,240.74/x
  3. Step 3: Cross multiply
    3,894.81x = 5,853.42 × 3,240.74
  4. Step 4: Simplify right side
    3,894.81x = 18,969,383.06
  5. Step 5: Solve for x
    x = 18,969,383.06/3,894.81
  6. Step 6: Final answer
    x = 4,870.43

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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.