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Finding the Fourth Proportional to 2,169.60, 3,249.60 and 1,678.80

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Solution

The fourth proportional to 2,169.60, 3,249.60 and 1,678.80 is: 2,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.60 : 3,249.60 = 1,678.80 : x
  2. Step 2: Convert to fraction form
    2,169.60/3,249.60 = 1,678.80/x
  3. Step 3: Cross multiply
    2,169.60x = 3,249.60 × 1,678.80
  4. Step 4: Simplify right side
    2,169.60x = 5,455,428.48
  5. Step 5: Solve for x
    x = 5,455,428.48/2,169.60
  6. Step 6: Final answer
    x = 2,514.49

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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.