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Finding the Fourth Proportional to 2,364.50, 3,546.89 and 1,809.99

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Solution

The fourth proportional to 2,364.50, 3,546.89 and 1,809.99 is: 2,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.50 : 3,546.89 = 1,809.99 : x
  2. Step 2: Convert to fraction form
    2,364.50/3,546.89 = 1,809.99/x
  3. Step 3: Cross multiply
    2,364.50x = 3,546.89 × 1,809.99
  4. Step 4: Simplify right side
    2,364.50x = 6,419,833.17
  5. Step 5: Solve for x
    x = 6,419,833.17/2,364.50
  6. Step 6: Final answer
    x = 2,715.09

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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.