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Finding the Fourth Proportional to 8,429.77, 12,644.16 and 2,586.43

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Solution

The fourth proportional to 8,429.77, 12,644.16 and 2,586.43 is: 3,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.77 : 12,644.16 = 2,586.43 : x
  2. Step 2: Convert to fraction form
    8,429.77/12,644.16 = 2,586.43/x
  3. Step 3: Cross multiply
    8,429.77x = 12,644.16 × 2,586.43
  4. Step 4: Simplify right side
    8,429.77x = 32,703,234.75
  5. Step 5: Solve for x
    x = 32,703,234.75/8,429.77
  6. Step 6: Final answer
    x = 3,879.49

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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.