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Finding the Fourth Proportional to 2,801.65, 3,865.42 and 1,622.49

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Solution

The fourth proportional to 2,801.65, 3,865.42 and 1,622.49 is: 2,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.65 : 3,865.42 = 1,622.49 : x
  2. Step 2: Convert to fraction form
    2,801.65/3,865.42 = 1,622.49/x
  3. Step 3: Cross multiply
    2,801.65x = 3,865.42 × 1,622.49
  4. Step 4: Simplify right side
    2,801.65x = 6,271,605.30
  5. Step 5: Solve for x
    x = 6,271,605.30/2,801.65
  6. Step 6: Final answer
    x = 2,238.54

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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.