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Finding the Fourth Proportional to 6,816.78, 9,404.10 and 4,458.60

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Solution

The fourth proportional to 6,816.78, 9,404.10 and 4,458.60 is: 6,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.78 : 9,404.10 = 4,458.60 : x
  2. Step 2: Convert to fraction form
    6,816.78/9,404.10 = 4,458.60/x
  3. Step 3: Cross multiply
    6,816.78x = 9,404.10 × 4,458.60
  4. Step 4: Simplify right side
    6,816.78x = 41,929,120.26
  5. Step 5: Solve for x
    x = 41,929,120.26/6,816.78
  6. Step 6: Final answer
    x = 6,150.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.