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Finding the Fourth Proportional to 9,218, 13,827 and 3,062

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Solution

The fourth proportional to 9,218, 13,827 and 3,062 is: 4,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218 : 13,827 = 3,062 : x
  2. Step 2: Convert to fraction form
    9,218/13,827 = 3,062/x
  3. Step 3: Cross multiply
    9,218x = 13,827 × 3,062
  4. Step 4: Simplify right side
    9,218x = 42,338,274
  5. Step 5: Solve for x
    x = 42,338,274/9,218
  6. Step 6: Final answer
    x = 4,593

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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.