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Finding the Fourth Proportional to 8,409.14, 12,616.14 and 3,477.86

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Solution

The fourth proportional to 8,409.14, 12,616.14 and 3,477.86 is: 5,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.14 : 12,616.14 = 3,477.86 : x
  2. Step 2: Convert to fraction form
    8,409.14/12,616.14 = 3,477.86/x
  3. Step 3: Cross multiply
    8,409.14x = 12,616.14 × 3,477.86
  4. Step 4: Simplify right side
    8,409.14x = 43,877,168.66
  5. Step 5: Solve for x
    x = 43,877,168.66/8,409.14
  6. Step 6: Final answer
    x = 5,217.80

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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.