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Finding the Fourth Proportional to 3,477.03, 5,209.68 and 1,719.69

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Solution

The fourth proportional to 3,477.03, 5,209.68 and 1,719.69 is: 2,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.03 : 5,209.68 = 1,719.69 : x
  2. Step 2: Convert to fraction form
    3,477.03/5,209.68 = 1,719.69/x
  3. Step 3: Cross multiply
    3,477.03x = 5,209.68 × 1,719.69
  4. Step 4: Simplify right side
    3,477.03x = 8,959,034.60
  5. Step 5: Solve for x
    x = 8,959,034.60/3,477.03
  6. Step 6: Final answer
    x = 2,576.63

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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.