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Finding the Fourth Proportional to 3,884, 5,360.24 and 2,228.32

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Solution

The fourth proportional to 3,884, 5,360.24 and 2,228.32 is: 3,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,360.24 = 2,228.32 : x
  2. Step 2: Convert to fraction form
    3,884/5,360.24 = 2,228.32/x
  3. Step 3: Cross multiply
    3,884x = 5,360.24 × 2,228.32
  4. Step 4: Simplify right side
    3,884x = 11,944,330.00
  5. Step 5: Solve for x
    x = 11,944,330.00/3,884
  6. Step 6: Final answer
    x = 3,075.27

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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.