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Finding the Fourth Proportional to 4,913.07, 6,778.16 and 3,145.68

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Solution

The fourth proportional to 4,913.07, 6,778.16 and 3,145.68 is: 4,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.07 : 6,778.16 = 3,145.68 : x
  2. Step 2: Convert to fraction form
    4,913.07/6,778.16 = 3,145.68/x
  3. Step 3: Cross multiply
    4,913.07x = 6,778.16 × 3,145.68
  4. Step 4: Simplify right side
    4,913.07x = 21,321,906.62
  5. Step 5: Solve for x
    x = 21,321,906.62/4,913.07
  6. Step 6: Final answer
    x = 4,339.83

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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.