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Finding the Fourth Proportional to 5,622.75, 7,755.48 and 3,943.62

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Solution

The fourth proportional to 5,622.75, 7,755.48 and 3,943.62 is: 5,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.75 : 7,755.48 = 3,943.62 : x
  2. Step 2: Convert to fraction form
    5,622.75/7,755.48 = 3,943.62/x
  3. Step 3: Cross multiply
    5,622.75x = 7,755.48 × 3,943.62
  4. Step 4: Simplify right side
    5,622.75x = 30,584,666.04
  5. Step 5: Solve for x
    x = 30,584,666.04/5,622.75
  6. Step 6: Final answer
    x = 5,439.45

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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.