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Finding the Fourth Proportional to 6,136.80, 9,180.90 and 5,324.10

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Solution

The fourth proportional to 6,136.80, 9,180.90 and 5,324.10 is: 7,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.80 : 9,180.90 = 5,324.10 : x
  2. Step 2: Convert to fraction form
    6,136.80/9,180.90 = 5,324.10/x
  3. Step 3: Cross multiply
    6,136.80x = 9,180.90 × 5,324.10
  4. Step 4: Simplify right side
    6,136.80x = 48,880,029.69
  5. Step 5: Solve for x
    x = 48,880,029.69/6,136.80
  6. Step 6: Final answer
    x = 7,965.07

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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.