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Finding the Fourth Proportional to 5,198.72, 7,795.64 and 4,209.10

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Solution

The fourth proportional to 5,198.72, 7,795.64 and 4,209.10 is: 6,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.72 : 7,795.64 = 4,209.10 : x
  2. Step 2: Convert to fraction form
    5,198.72/7,795.64 = 4,209.10/x
  3. Step 3: Cross multiply
    5,198.72x = 7,795.64 × 4,209.10
  4. Step 4: Simplify right side
    5,198.72x = 32,812,619.36
  5. Step 5: Solve for x
    x = 32,812,619.36/5,198.72
  6. Step 6: Final answer
    x = 6,311.68

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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.