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Finding the Fourth Proportional to 9,218, 13,827 and 6,499.28

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Solution

The fourth proportional to 9,218, 13,827 and 6,499.28 is: 9,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218 : 13,827 = 6,499.28 : x
  2. Step 2: Convert to fraction form
    9,218/13,827 = 6,499.28/x
  3. Step 3: Cross multiply
    9,218x = 13,827 × 6,499.28
  4. Step 4: Simplify right side
    9,218x = 89,865,544.56
  5. Step 5: Solve for x
    x = 89,865,544.56/9,218
  6. Step 6: Final answer
    x = 9,748.92

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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.