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Finding the Fourth Proportional to 11,882.48, 17,815.04 and 7,268.72

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Solution

The fourth proportional to 11,882.48, 17,815.04 and 7,268.72 is: 10,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.48 : 17,815.04 = 7,268.72 : x
  2. Step 2: Convert to fraction form
    11,882.48/17,815.04 = 7,268.72/x
  3. Step 3: Cross multiply
    11,882.48x = 17,815.04 × 7,268.72
  4. Step 4: Simplify right side
    11,882.48x = 129,492,537.55
  5. Step 5: Solve for x
    x = 129,492,537.55/11,882.48
  6. Step 6: Final answer
    x = 10,897.77

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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.