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Finding the Fourth Proportional to 8,409.64, 12,616.44 and 4,714.42

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Solution

The fourth proportional to 8,409.64, 12,616.44 and 4,714.42 is: 7,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.64 : 12,616.44 = 4,714.42 : x
  2. Step 2: Convert to fraction form
    8,409.64/12,616.44 = 4,714.42/x
  3. Step 3: Cross multiply
    8,409.64x = 12,616.44 × 4,714.42
  4. Step 4: Simplify right side
    8,409.64x = 59,479,198.02
  5. Step 5: Solve for x
    x = 59,479,198.02/8,409.64
  6. Step 6: Final answer
    x = 7,072.74

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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.