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Finding the Fourth Proportional to 2,898.77, 3,998.49 and 1,719

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Solution

The fourth proportional to 2,898.77, 3,998.49 and 1,719 is: 2,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.77 : 3,998.49 = 1,719 : x
  2. Step 2: Convert to fraction form
    2,898.77/3,998.49 = 1,719/x
  3. Step 3: Cross multiply
    2,898.77x = 3,998.49 × 1,719
  4. Step 4: Simplify right side
    2,898.77x = 6,873,404.31
  5. Step 5: Solve for x
    x = 6,873,404.31/2,898.77
  6. Step 6: Final answer
    x = 2,371.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.