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Finding the Fourth Proportional to 8,136, 11,230.56 and 5,653.44

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Solution

The fourth proportional to 8,136, 11,230.56 and 5,653.44 is: 7,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 11,230.56 = 5,653.44 : x
  2. Step 2: Convert to fraction form
    8,136/11,230.56 = 5,653.44/x
  3. Step 3: Cross multiply
    8,136x = 11,230.56 × 5,653.44
  4. Step 4: Simplify right side
    8,136x = 63,491,297.13
  5. Step 5: Solve for x
    x = 63,491,297.13/8,136
  6. Step 6: Final answer
    x = 7,803.75

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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.