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Finding the Fourth Proportional to 6,155, 9,228 and 2,259.44

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Solution

The fourth proportional to 6,155, 9,228 and 2,259.44 is: 3,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155 : 9,228 = 2,259.44 : x
  2. Step 2: Convert to fraction form
    6,155/9,228 = 2,259.44/x
  3. Step 3: Cross multiply
    6,155x = 9,228 × 2,259.44
  4. Step 4: Simplify right side
    6,155x = 20,850,112.32
  5. Step 5: Solve for x
    x = 20,850,112.32/6,155
  6. Step 6: Final answer
    x = 3,387.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.