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Finding the Fourth Proportional to 11,699.76, 16,145.22 and 6,394.65

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Solution

The fourth proportional to 11,699.76, 16,145.22 and 6,394.65 is: 8,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.76 : 16,145.22 = 6,394.65 : x
  2. Step 2: Convert to fraction form
    11,699.76/16,145.22 = 6,394.65/x
  3. Step 3: Cross multiply
    11,699.76x = 16,145.22 × 6,394.65
  4. Step 4: Simplify right side
    11,699.76x = 103,243,031.07
  5. Step 5: Solve for x
    x = 103,243,031.07/11,699.76
  6. Step 6: Final answer
    x = 8,824.37

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