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Finding the Fourth Proportional to 3,669.84, 5,505.02 and 1,819.08

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Solution

The fourth proportional to 3,669.84, 5,505.02 and 1,819.08 is: 2,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.84 : 5,505.02 = 1,819.08 : x
  2. Step 2: Convert to fraction form
    3,669.84/5,505.02 = 1,819.08/x
  3. Step 3: Cross multiply
    3,669.84x = 5,505.02 × 1,819.08
  4. Step 4: Simplify right side
    3,669.84x = 10,014,071.78
  5. Step 5: Solve for x
    x = 10,014,071.78/3,669.84
  6. Step 6: Final answer
    x = 2,728.75

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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.