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Finding the Fourth Proportional to 11,656.83, 16,086.43 and 6,351.65

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Solution

The fourth proportional to 11,656.83, 16,086.43 and 6,351.65 is: 8,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.83 : 16,086.43 = 6,351.65 : x
  2. Step 2: Convert to fraction form
    11,656.83/16,086.43 = 6,351.65/x
  3. Step 3: Cross multiply
    11,656.83x = 16,086.43 × 6,351.65
  4. Step 4: Simplify right side
    11,656.83x = 102,175,373.11
  5. Step 5: Solve for x
    x = 102,175,373.11/11,656.83
  6. Step 6: Final answer
    x = 8,765.28

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1.5x scale

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.