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Finding the Fourth Proportional to 8,110.50, 11,192.50 and 4,384.50

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Solution

The fourth proportional to 8,110.50, 11,192.50 and 4,384.50 is: 6,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.50 : 11,192.50 = 4,384.50 : x
  2. Step 2: Convert to fraction form
    8,110.50/11,192.50 = 4,384.50/x
  3. Step 3: Cross multiply
    8,110.50x = 11,192.50 × 4,384.50
  4. Step 4: Simplify right side
    8,110.50x = 49,073,516.25
  5. Step 5: Solve for x
    x = 49,073,516.25/8,110.50
  6. Step 6: Final answer
    x = 6,050.62

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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.