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Finding the Fourth Proportional to 8,491.93, 12,714.28 and 4,322.96

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Solution

The fourth proportional to 8,491.93, 12,714.28 and 4,322.96 is: 6,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.93 : 12,714.28 = 4,322.96 : x
  2. Step 2: Convert to fraction form
    8,491.93/12,714.28 = 4,322.96/x
  3. Step 3: Cross multiply
    8,491.93x = 12,714.28 × 4,322.96
  4. Step 4: Simplify right side
    8,491.93x = 54,963,344.85
  5. Step 5: Solve for x
    x = 54,963,344.85/8,491.93
  6. Step 6: Final answer
    x = 6,472.42

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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.