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Finding the Fourth Proportional to 11,086, 16,628.98 and 6,465.76

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Solution

The fourth proportional to 11,086, 16,628.98 and 6,465.76 is: 9,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086 : 16,628.98 = 6,465.76 : x
  2. Step 2: Convert to fraction form
    11,086/16,628.98 = 6,465.76/x
  3. Step 3: Cross multiply
    11,086x = 16,628.98 × 6,465.76
  4. Step 4: Simplify right side
    11,086x = 107,518,993.72
  5. Step 5: Solve for x
    x = 107,518,993.72/11,086
  6. Step 6: Final answer
    x = 9,698.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.