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Finding the Fourth Proportional to 6,136.99, 8,462.84 and 4,121

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Solution

The fourth proportional to 6,136.99, 8,462.84 and 4,121 is: 5,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.99 : 8,462.84 = 4,121 : x
  2. Step 2: Convert to fraction form
    6,136.99/8,462.84 = 4,121/x
  3. Step 3: Cross multiply
    6,136.99x = 8,462.84 × 4,121
  4. Step 4: Simplify right side
    6,136.99x = 34,875,363.64
  5. Step 5: Solve for x
    x = 34,875,363.64/6,136.99
  6. Step 6: Final answer
    x = 5,682.81

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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.