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Finding the Fourth Proportional to 11,656.87, 16,086.81 and 6,351.79

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Solution

The fourth proportional to 11,656.87, 16,086.81 and 6,351.79 is: 8,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.87 : 16,086.81 = 6,351.79 : x
  2. Step 2: Convert to fraction form
    11,656.87/16,086.81 = 6,351.79/x
  3. Step 3: Cross multiply
    11,656.87x = 16,086.81 × 6,351.79
  4. Step 4: Simplify right side
    11,656.87x = 102,180,038.89
  5. Step 5: Solve for x
    x = 102,180,038.89/11,656.87
  6. Step 6: Final answer
    x = 8,765.65

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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.