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Finding the Fourth Proportional to 5,458.42, 8,198.97 and 5,312.62

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Solution

The fourth proportional to 5,458.42, 8,198.97 and 5,312.62 is: 7,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.42 : 8,198.97 = 5,312.62 : x
  2. Step 2: Convert to fraction form
    5,458.42/8,198.97 = 5,312.62/x
  3. Step 3: Cross multiply
    5,458.42x = 8,198.97 × 5,312.62
  4. Step 4: Simplify right side
    5,458.42x = 43,558,012.00
  5. Step 5: Solve for x
    x = 43,558,012.00/5,458.42
  6. Step 6: Final answer
    x = 7,979.97

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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.