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Finding the Fourth Proportional to 5,198.68, 7,791.20 and 4,538.88

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Solution

The fourth proportional to 5,198.68, 7,791.20 and 4,538.88 is: 6,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.68 : 7,791.20 = 4,538.88 : x
  2. Step 2: Convert to fraction form
    5,198.68/7,791.20 = 4,538.88/x
  3. Step 3: Cross multiply
    5,198.68x = 7,791.20 × 4,538.88
  4. Step 4: Simplify right side
    5,198.68x = 35,363,316.18
  5. Step 5: Solve for x
    x = 35,363,316.18/5,198.68
  6. Step 6: Final answer
    x = 6,802.36

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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.