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Finding the Fourth Proportional to 7,980.03, 11,967.62 and 3,817.85

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Solution

The fourth proportional to 7,980.03, 11,967.62 and 3,817.85 is: 5,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.03 : 11,967.62 = 3,817.85 : x
  2. Step 2: Convert to fraction form
    7,980.03/11,967.62 = 3,817.85/x
  3. Step 3: Cross multiply
    7,980.03x = 11,967.62 × 3,817.85
  4. Step 4: Simplify right side
    7,980.03x = 45,690,499.09
  5. Step 5: Solve for x
    x = 45,690,499.09/7,980.03
  6. Step 6: Final answer
    x = 5,725.60

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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.