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Finding the Fourth Proportional to 6,106, 8,426.28 and 3,311.50

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Solution

The fourth proportional to 6,106, 8,426.28 and 3,311.50 is: 4,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106 : 8,426.28 = 3,311.50 : x
  2. Step 2: Convert to fraction form
    6,106/8,426.28 = 3,311.50/x
  3. Step 3: Cross multiply
    6,106x = 8,426.28 × 3,311.50
  4. Step 4: Simplify right side
    6,106x = 27,903,626.22
  5. Step 5: Solve for x
    x = 27,903,626.22/6,106
  6. Step 6: Final answer
    x = 4,569.87

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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.