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Finding the Fourth Proportional to 11,494.86, 15,864.62 and 7,021.19

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Solution

The fourth proportional to 11,494.86, 15,864.62 and 7,021.19 is: 9,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.86 : 15,864.62 = 7,021.19 : x
  2. Step 2: Convert to fraction form
    11,494.86/15,864.62 = 7,021.19/x
  3. Step 3: Cross multiply
    11,494.86x = 15,864.62 × 7,021.19
  4. Step 4: Simplify right side
    11,494.86x = 111,388,431.97
  5. Step 5: Solve for x
    x = 111,388,431.97/11,494.86
  6. Step 6: Final answer
    x = 9,690.28

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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.