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Finding the Fourth Proportional to 11,088, 15,304.04 and 7,311.85

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Solution

The fourth proportional to 11,088, 15,304.04 and 7,311.85 is: 10,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,088 : 15,304.04 = 7,311.85 : x
  2. Step 2: Convert to fraction form
    11,088/15,304.04 = 7,311.85/x
  3. Step 3: Cross multiply
    11,088x = 15,304.04 × 7,311.85
  4. Step 4: Simplify right side
    11,088x = 111,900,797.47
  5. Step 5: Solve for x
    x = 111,900,797.47/11,088
  6. Step 6: Final answer
    x = 10,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.