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Finding the Fourth Proportional to 8,136, 11,223.92 and 4,777.72

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Solution

The fourth proportional to 8,136, 11,223.92 and 4,777.72 is: 6,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 11,223.92 = 4,777.72 : x
  2. Step 2: Convert to fraction form
    8,136/11,223.92 = 4,777.72/x
  3. Step 3: Cross multiply
    8,136x = 11,223.92 × 4,777.72
  4. Step 4: Simplify right side
    8,136x = 53,624,747.06
  5. Step 5: Solve for x
    x = 53,624,747.06/8,136
  6. Step 6: Final answer
    x = 6,591.05

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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.