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Finding the Fourth Proportional to 3,905.77, 5,389.77 and 2,227.32

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Solution

The fourth proportional to 3,905.77, 5,389.77 and 2,227.32 is: 3,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.77 : 5,389.77 = 2,227.32 : x
  2. Step 2: Convert to fraction form
    3,905.77/5,389.77 = 2,227.32/x
  3. Step 3: Cross multiply
    3,905.77x = 5,389.77 × 2,227.32
  4. Step 4: Simplify right side
    3,905.77x = 12,004,742.52
  5. Step 5: Solve for x
    x = 12,004,742.52/3,905.77
  6. Step 6: Final answer
    x = 3,073.59

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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.