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Finding the Fourth Proportional to 8,136, 11,234.16 and 6,364.56

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Solution

The fourth proportional to 8,136, 11,234.16 and 6,364.56 is: 8,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 11,234.16 = 6,364.56 : x
  2. Step 2: Convert to fraction form
    8,136/11,234.16 = 6,364.56/x
  3. Step 3: Cross multiply
    8,136x = 11,234.16 × 6,364.56
  4. Step 4: Simplify right side
    8,136x = 71,500,485.37
  5. Step 5: Solve for x
    x = 71,500,485.37/8,136
  6. Step 6: Final answer
    x = 8,788.16

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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.