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Finding the Fourth Proportional to 3,311.87, 4,968.95 and 1,667.07

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Solution

The fourth proportional to 3,311.87, 4,968.95 and 1,667.07 is: 2,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.87 : 4,968.95 = 1,667.07 : x
  2. Step 2: Convert to fraction form
    3,311.87/4,968.95 = 1,667.07/x
  3. Step 3: Cross multiply
    3,311.87x = 4,968.95 × 1,667.07
  4. Step 4: Simplify right side
    3,311.87x = 8,283,579.14
  5. Step 5: Solve for x
    x = 8,283,579.14/3,311.87
  6. Step 6: Final answer
    x = 2,501.18

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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.