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Finding the Fourth Proportional to 8,102.77, 11,181.81 and 4,376.77

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Solution

The fourth proportional to 8,102.77, 11,181.81 and 4,376.77 is: 6,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.77 : 11,181.81 = 4,376.77 : x
  2. Step 2: Convert to fraction form
    8,102.77/11,181.81 = 4,376.77/x
  3. Step 3: Cross multiply
    8,102.77x = 11,181.81 × 4,376.77
  4. Step 4: Simplify right side
    8,102.77x = 48,940,210.55
  5. Step 5: Solve for x
    x = 48,940,210.55/8,102.77
  6. Step 6: Final answer
    x = 6,039.94

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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.