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Finding the Fourth Proportional to 11,304, 15,599.52 and 6,888

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Solution

The fourth proportional to 11,304, 15,599.52 and 6,888 is: 9,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304 : 15,599.52 = 6,888 : x
  2. Step 2: Convert to fraction form
    11,304/15,599.52 = 6,888/x
  3. Step 3: Cross multiply
    11,304x = 15,599.52 × 6,888
  4. Step 4: Simplify right side
    11,304x = 107,449,493.76
  5. Step 5: Solve for x
    x = 107,449,493.76/11,304
  6. Step 6: Final answer
    x = 9,505.44

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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.