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Finding the Fourth Proportional to 7,952.80, 11,924.70 and 3,022.60

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Solution

The fourth proportional to 7,952.80, 11,924.70 and 3,022.60 is: 4,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.80 : 11,924.70 = 3,022.60 : x
  2. Step 2: Convert to fraction form
    7,952.80/11,924.70 = 3,022.60/x
  3. Step 3: Cross multiply
    7,952.80x = 11,924.70 × 3,022.60
  4. Step 4: Simplify right side
    7,952.80x = 36,043,598.22
  5. Step 5: Solve for x
    x = 36,043,598.22/7,952.80
  6. Step 6: Final answer
    x = 4,532.19

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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.