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Finding the Fourth Proportional to 3,980.68, 5,972.10 and 1,207.44

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Solution

The fourth proportional to 3,980.68, 5,972.10 and 1,207.44 is: 1,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.68 : 5,972.10 = 1,207.44 : x
  2. Step 2: Convert to fraction form
    3,980.68/5,972.10 = 1,207.44/x
  3. Step 3: Cross multiply
    3,980.68x = 5,972.10 × 1,207.44
  4. Step 4: Simplify right side
    3,980.68x = 7,210,947.90
  5. Step 5: Solve for x
    x = 7,210,947.90/3,980.68
  6. Step 6: Final answer
    x = 1,811.49

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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.