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Finding the Fourth Proportional to 4,993.80, 6,883.78 and 4,196.76

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Solution

The fourth proportional to 4,993.80, 6,883.78 and 4,196.76 is: 5,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.80 : 6,883.78 = 4,196.76 : x
  2. Step 2: Convert to fraction form
    4,993.80/6,883.78 = 4,196.76/x
  3. Step 3: Cross multiply
    4,993.80x = 6,883.78 × 4,196.76
  4. Step 4: Simplify right side
    4,993.80x = 28,889,572.55
  5. Step 5: Solve for x
    x = 28,889,572.55/4,993.80
  6. Step 6: Final answer
    x = 5,785.09

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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.