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Finding the Fourth Proportional to 11,768, 16,239.94 and 6,462.68

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Solution

The fourth proportional to 11,768, 16,239.94 and 6,462.68 is: 8,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768 : 16,239.94 = 6,462.68 : x
  2. Step 2: Convert to fraction form
    11,768/16,239.94 = 6,462.68/x
  3. Step 3: Cross multiply
    11,768x = 16,239.94 × 6,462.68
  4. Step 4: Simplify right side
    11,768x = 104,953,535.44
  5. Step 5: Solve for x
    x = 104,953,535.44/11,768
  6. Step 6: Final answer
    x = 8,918.55

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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.