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Finding the Fourth Proportional to 1,981.08, 2,972 and 1,249.80

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Solution

The fourth proportional to 1,981.08, 2,972 and 1,249.80 is: 1,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.08 : 2,972 = 1,249.80 : x
  2. Step 2: Convert to fraction form
    1,981.08/2,972 = 1,249.80/x
  3. Step 3: Cross multiply
    1,981.08x = 2,972 × 1,249.80
  4. Step 4: Simplify right side
    1,981.08x = 3,714,405.60
  5. Step 5: Solve for x
    x = 3,714,405.60/1,981.08
  6. Step 6: Final answer
    x = 1,874.94

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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.