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Finding the Fourth Proportional to 9,218.88, 13,828.32 and 7,896.96

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Solution

The fourth proportional to 9,218.88, 13,828.32 and 7,896.96 is: 11,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.88 : 13,828.32 = 7,896.96 : x
  2. Step 2: Convert to fraction form
    9,218.88/13,828.32 = 7,896.96/x
  3. Step 3: Cross multiply
    9,218.88x = 13,828.32 × 7,896.96
  4. Step 4: Simplify right side
    9,218.88x = 109,201,689.91
  5. Step 5: Solve for x
    x = 109,201,689.91/9,218.88
  6. Step 6: Final answer
    x = 11,845.44

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Similar ratio
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1.5x scale

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.