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Finding the Fourth Proportional to 9,202.50, 13,803.75 and 2,277

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Solution

The fourth proportional to 9,202.50, 13,803.75 and 2,277 is: 3,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.50 : 13,803.75 = 2,277 : x
  2. Step 2: Convert to fraction form
    9,202.50/13,803.75 = 2,277/x
  3. Step 3: Cross multiply
    9,202.50x = 13,803.75 × 2,277
  4. Step 4: Simplify right side
    9,202.50x = 31,431,138.75
  5. Step 5: Solve for x
    x = 31,431,138.75/9,202.50
  6. Step 6: Final answer
    x = 3,415.50

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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.