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Finding the Fourth Proportional to 12,714.88, 19,074.36 and 3,947.74

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Solution

The fourth proportional to 12,714.88, 19,074.36 and 3,947.74 is: 5,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.88 : 19,074.36 = 3,947.74 : x
  2. Step 2: Convert to fraction form
    12,714.88/19,074.36 = 3,947.74/x
  3. Step 3: Cross multiply
    12,714.88x = 19,074.36 × 3,947.74
  4. Step 4: Simplify right side
    12,714.88x = 75,300,613.95
  5. Step 5: Solve for x
    x = 75,300,613.95/12,714.88
  6. Step 6: Final answer
    x = 5,922.24

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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.