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Finding the Fourth Proportional to 3,993, 5,510.50 and 2,224.78

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Solution

The fourth proportional to 3,993, 5,510.50 and 2,224.78 is: 3,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993 : 5,510.50 = 2,224.78 : x
  2. Step 2: Convert to fraction form
    3,993/5,510.50 = 2,224.78/x
  3. Step 3: Cross multiply
    3,993x = 5,510.50 × 2,224.78
  4. Step 4: Simplify right side
    3,993x = 12,259,650.19
  5. Step 5: Solve for x
    x = 12,259,650.19/3,993
  6. Step 6: Final answer
    x = 3,070.29

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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.