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Finding the Fourth Proportional to 8,290.60, 12,419.70 and 4,993.90

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Solution

The fourth proportional to 8,290.60, 12,419.70 and 4,993.90 is: 7,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.60 : 12,419.70 = 4,993.90 : x
  2. Step 2: Convert to fraction form
    8,290.60/12,419.70 = 4,993.90/x
  3. Step 3: Cross multiply
    8,290.60x = 12,419.70 × 4,993.90
  4. Step 4: Simplify right side
    8,290.60x = 62,022,739.83
  5. Step 5: Solve for x
    x = 62,022,739.83/8,290.60
  6. Step 6: Final answer
    x = 7,481.09

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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.