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Finding the Fourth Proportional to 7,164.80, 9,887.28 and 4,022

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Solution

The fourth proportional to 7,164.80, 9,887.28 and 4,022 is: 5,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.80 : 9,887.28 = 4,022 : x
  2. Step 2: Convert to fraction form
    7,164.80/9,887.28 = 4,022/x
  3. Step 3: Cross multiply
    7,164.80x = 9,887.28 × 4,022
  4. Step 4: Simplify right side
    7,164.80x = 39,766,640.16
  5. Step 5: Solve for x
    x = 39,766,640.16/7,164.80
  6. Step 6: Final answer
    x = 5,550.28

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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.