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Finding the Fourth Proportional to 3,853.79, 5,318.14 and 2,361.77

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Solution

The fourth proportional to 3,853.79, 5,318.14 and 2,361.77 is: 3,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.79 : 5,318.14 = 2,361.77 : x
  2. Step 2: Convert to fraction form
    3,853.79/5,318.14 = 2,361.77/x
  3. Step 3: Cross multiply
    3,853.79x = 5,318.14 × 2,361.77
  4. Step 4: Simplify right side
    3,853.79x = 12,560,223.51
  5. Step 5: Solve for x
    x = 12,560,223.51/3,853.79
  6. Step 6: Final answer
    x = 3,259.19

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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.