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Finding the Fourth Proportional to 6,624.09, 9,929.66 and 3,163.77

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Solution

The fourth proportional to 6,624.09, 9,929.66 and 3,163.77 is: 4,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.09 : 9,929.66 = 3,163.77 : x
  2. Step 2: Convert to fraction form
    6,624.09/9,929.66 = 3,163.77/x
  3. Step 3: Cross multiply
    6,624.09x = 9,929.66 × 3,163.77
  4. Step 4: Simplify right side
    6,624.09x = 31,415,144.60
  5. Step 5: Solve for x
    x = 31,415,144.60/6,624.09
  6. Step 6: Final answer
    x = 4,742.56

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1.5x scale

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.