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Finding the Fourth Proportional to 4,121, 6,166 and 2,890.81

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Solution

The fourth proportional to 4,121, 6,166 and 2,890.81 is: 4,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121 : 6,166 = 2,890.81 : x
  2. Step 2: Convert to fraction form
    4,121/6,166 = 2,890.81/x
  3. Step 3: Cross multiply
    4,121x = 6,166 × 2,890.81
  4. Step 4: Simplify right side
    4,121x = 17,824,734.46
  5. Step 5: Solve for x
    x = 17,824,734.46/4,121
  6. Step 6: Final answer
    x = 4,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.