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Finding the Fourth Proportional to 3,877.93, 5,807.62 and 2,120.30

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Solution

The fourth proportional to 3,877.93, 5,807.62 and 2,120.30 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.93 : 5,807.62 = 2,120.30 : x
  2. Step 2: Convert to fraction form
    3,877.93/5,807.62 = 2,120.30/x
  3. Step 3: Cross multiply
    3,877.93x = 5,807.62 × 2,120.30
  4. Step 4: Simplify right side
    3,877.93x = 12,313,896.69
  5. Step 5: Solve for x
    x = 12,313,896.69/3,877.93
  6. Step 6: Final answer
    x = 3,175.38

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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.