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Finding the Fourth Proportional to 6,136.86, 8,469.09 and 3,484.20

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Solution

The fourth proportional to 6,136.86, 8,469.09 and 3,484.20 is: 4,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.86 : 8,469.09 = 3,484.20 : x
  2. Step 2: Convert to fraction form
    6,136.86/8,469.09 = 3,484.20/x
  3. Step 3: Cross multiply
    6,136.86x = 8,469.09 × 3,484.20
  4. Step 4: Simplify right side
    6,136.86x = 29,508,003.38
  5. Step 5: Solve for x
    x = 29,508,003.38/6,136.86
  6. Step 6: Final answer
    x = 4,808.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.