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Finding the Fourth Proportional to 9,714.62, 14,571.94 and 2,789.12

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Solution

The fourth proportional to 9,714.62, 14,571.94 and 2,789.12 is: 4,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.62 : 14,571.94 = 2,789.12 : x
  2. Step 2: Convert to fraction form
    9,714.62/14,571.94 = 2,789.12/x
  3. Step 3: Cross multiply
    9,714.62x = 14,571.94 × 2,789.12
  4. Step 4: Simplify right side
    9,714.62x = 40,642,889.29
  5. Step 5: Solve for x
    x = 40,642,889.29/9,714.62
  6. Step 6: Final answer
    x = 4,183.68

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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.