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Finding the Fourth Proportional to 1,780.75, 2,453.74 and 1,514.26

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Solution

The fourth proportional to 1,780.75, 2,453.74 and 1,514.26 is: 2,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.75 : 2,453.74 = 1,514.26 : x
  2. Step 2: Convert to fraction form
    1,780.75/2,453.74 = 1,514.26/x
  3. Step 3: Cross multiply
    1,780.75x = 2,453.74 × 1,514.26
  4. Step 4: Simplify right side
    1,780.75x = 3,715,608.13
  5. Step 5: Solve for x
    x = 3,715,608.13/1,780.75
  6. Step 6: Final answer
    x = 2,086.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.