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Finding the Fourth Proportional to 5,753, 7,940.10 and 3,395.72

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Solution

The fourth proportional to 5,753, 7,940.10 and 3,395.72 is: 4,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753 : 7,940.10 = 3,395.72 : x
  2. Step 2: Convert to fraction form
    5,753/7,940.10 = 3,395.72/x
  3. Step 3: Cross multiply
    5,753x = 7,940.10 × 3,395.72
  4. Step 4: Simplify right side
    5,753x = 26,962,356.37
  5. Step 5: Solve for x
    x = 26,962,356.37/5,753
  6. Step 6: Final answer
    x = 4,686.66

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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.