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Finding the Fourth Proportional to 6,690.53, 10,022.16 and 3,169.87

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Solution

The fourth proportional to 6,690.53, 10,022.16 and 3,169.87 is: 4,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.53 : 10,022.16 = 3,169.87 : x
  2. Step 2: Convert to fraction form
    6,690.53/10,022.16 = 3,169.87/x
  3. Step 3: Cross multiply
    6,690.53x = 10,022.16 × 3,169.87
  4. Step 4: Simplify right side
    6,690.53x = 31,768,878.36
  5. Step 5: Solve for x
    x = 31,768,878.36/6,690.53
  6. Step 6: Final answer
    x = 4,748.34

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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.