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Finding the Fourth Proportional to 3,863.81, 5,767.43 and 3,319.49

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Solution

The fourth proportional to 3,863.81, 5,767.43 and 3,319.49 is: 4,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.81 : 5,767.43 = 3,319.49 : x
  2. Step 2: Convert to fraction form
    3,863.81/5,767.43 = 3,319.49/x
  3. Step 3: Cross multiply
    3,863.81x = 5,767.43 × 3,319.49
  4. Step 4: Simplify right side
    3,863.81x = 19,144,926.21
  5. Step 5: Solve for x
    x = 19,144,926.21/3,863.81
  6. Step 6: Final answer
    x = 4,954.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.