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Finding the Fourth Proportional to 1,993.66, 3,000.00 and 1,644.81

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Solution

The fourth proportional to 1,993.66, 3,000.00 and 1,644.81 is: 2,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.66 : 3,000.00 = 1,644.81 : x
  2. Step 2: Convert to fraction form
    1,993.66/3,000.00 = 1,644.81/x
  3. Step 3: Cross multiply
    1,993.66x = 3,000.00 × 1,644.81
  4. Step 4: Simplify right side
    1,993.66x = 4,934,424.92
  5. Step 5: Solve for x
    x = 4,934,424.92/1,993.66
  6. Step 6: Final answer
    x = 2,475.05

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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.