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Finding the Fourth Proportional to 2,898.12, 3,998.79 and 1,719.57

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Solution

The fourth proportional to 2,898.12, 3,998.79 and 1,719.57 is: 2,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.12 : 3,998.79 = 1,719.57 : x
  2. Step 2: Convert to fraction form
    2,898.12/3,998.79 = 1,719.57/x
  3. Step 3: Cross multiply
    2,898.12x = 3,998.79 × 1,719.57
  4. Step 4: Simplify right side
    2,898.12x = 6,876,199.32
  5. Step 5: Solve for x
    x = 6,876,199.32/2,898.12
  6. Step 6: Final answer
    x = 2,372.64

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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.