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Finding the Fourth Proportional to 3,801.64, 5,701.38 and 2,412.88

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Solution

The fourth proportional to 3,801.64, 5,701.38 and 2,412.88 is: 3,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.64 : 5,701.38 = 2,412.88 : x
  2. Step 2: Convert to fraction form
    3,801.64/5,701.38 = 2,412.88/x
  3. Step 3: Cross multiply
    3,801.64x = 5,701.38 × 2,412.88
  4. Step 4: Simplify right side
    3,801.64x = 13,756,745.77
  5. Step 5: Solve for x
    x = 13,756,745.77/3,801.64
  6. Step 6: Final answer
    x = 3,618.63

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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.