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Finding the Fourth Proportional to 2,640.44, 3,644.10 and 1,592.48

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Solution

The fourth proportional to 2,640.44, 3,644.10 and 1,592.48 is: 2,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.44 : 3,644.10 = 1,592.48 : x
  2. Step 2: Convert to fraction form
    2,640.44/3,644.10 = 1,592.48/x
  3. Step 3: Cross multiply
    2,640.44x = 3,644.10 × 1,592.48
  4. Step 4: Simplify right side
    2,640.44x = 5,803,156.37
  5. Step 5: Solve for x
    x = 5,803,156.37/2,640.44
  6. Step 6: Final answer
    x = 2,197.80

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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.