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Finding the Fourth Proportional to 11,589.50, 15,987.61 and 7,333.38

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Solution

The fourth proportional to 11,589.50, 15,987.61 and 7,333.38 is: 10,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.50 : 15,987.61 = 7,333.38 : x
  2. Step 2: Convert to fraction form
    11,589.50/15,987.61 = 7,333.38/x
  3. Step 3: Cross multiply
    11,589.50x = 15,987.61 × 7,333.38
  4. Step 4: Simplify right side
    11,589.50x = 117,243,201.09
  5. Step 5: Solve for x
    x = 117,243,201.09/11,589.50
  6. Step 6: Final answer
    x = 10,116.33

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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.