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Finding the Fourth Proportional to 5,198.87, 7,799.32 and 1,688.22

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Solution

The fourth proportional to 5,198.87, 7,799.32 and 1,688.22 is: 2,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.87 : 7,799.32 = 1,688.22 : x
  2. Step 2: Convert to fraction form
    5,198.87/7,799.32 = 1,688.22/x
  3. Step 3: Cross multiply
    5,198.87x = 7,799.32 × 1,688.22
  4. Step 4: Simplify right side
    5,198.87x = 13,166,968.01
  5. Step 5: Solve for x
    x = 13,166,968.01/5,198.87
  6. Step 6: Final answer
    x = 2,532.66

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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.