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Finding the Fourth Proportional to 3,908.79, 5,864.54 and 1,719.09

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Solution

The fourth proportional to 3,908.79, 5,864.54 and 1,719.09 is: 2,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.79 : 5,864.54 = 1,719.09 : x
  2. Step 2: Convert to fraction form
    3,908.79/5,864.54 = 1,719.09/x
  3. Step 3: Cross multiply
    3,908.79x = 5,864.54 × 1,719.09
  4. Step 4: Simplify right side
    3,908.79x = 10,081,663.47
  5. Step 5: Solve for x
    x = 10,081,663.47/3,908.79
  6. Step 6: Final answer
    x = 2,579.23

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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.