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Finding the Fourth Proportional to 6,779.32, 10,169.90 and 2,099.71

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Solution

The fourth proportional to 6,779.32, 10,169.90 and 2,099.71 is: 3,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.32 : 10,169.90 = 2,099.71 : x
  2. Step 2: Convert to fraction form
    6,779.32/10,169.90 = 2,099.71/x
  3. Step 3: Cross multiply
    6,779.32x = 10,169.90 × 2,099.71
  4. Step 4: Simplify right side
    6,779.32x = 21,353,840.73
  5. Step 5: Solve for x
    x = 21,353,840.73/6,779.32
  6. Step 6: Final answer
    x = 3,149.85

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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.