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Finding the Fourth Proportional to 1,668.12, 2,514.84 and 1,578.84

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Solution

The fourth proportional to 1,668.12, 2,514.84 and 1,578.84 is: 2,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.12 : 2,514.84 = 1,578.84 : x
  2. Step 2: Convert to fraction form
    1,668.12/2,514.84 = 1,578.84/x
  3. Step 3: Cross multiply
    1,668.12x = 2,514.84 × 1,578.84
  4. Step 4: Simplify right side
    1,668.12x = 3,970,529.99
  5. Step 5: Solve for x
    x = 3,970,529.99/1,668.12
  6. Step 6: Final answer
    x = 2,380.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.