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Finding the Fourth Proportional to 11,652, 16,079.85 and 6,346.68

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Solution

The fourth proportional to 11,652, 16,079.85 and 6,346.68 is: 8,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 16,079.85 = 6,346.68 : x
  2. Step 2: Convert to fraction form
    11,652/16,079.85 = 6,346.68/x
  3. Step 3: Cross multiply
    11,652x = 16,079.85 × 6,346.68
  4. Step 4: Simplify right side
    11,652x = 102,053,662.40
  5. Step 5: Solve for x
    x = 102,053,662.40/11,652
  6. Step 6: Final answer
    x = 8,758.47

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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.