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Finding the Fourth Proportional to 2,801.06, 3,865.22 and 1,621.90

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Solution

The fourth proportional to 2,801.06, 3,865.22 and 1,621.90 is: 2,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.06 : 3,865.22 = 1,621.90 : x
  2. Step 2: Convert to fraction form
    2,801.06/3,865.22 = 1,621.90/x
  3. Step 3: Cross multiply
    2,801.06x = 3,865.22 × 1,621.90
  4. Step 4: Simplify right side
    2,801.06x = 6,269,000.32
  5. Step 5: Solve for x
    x = 6,269,000.32/2,801.06
  6. Step 6: Final answer
    x = 2,238.08

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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.