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Finding the Fourth Proportional to 2,398.96, 3,581.31 and 2,029.81

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Solution

The fourth proportional to 2,398.96, 3,581.31 and 2,029.81 is: 3,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.96 : 3,581.31 = 2,029.81 : x
  2. Step 2: Convert to fraction form
    2,398.96/3,581.31 = 2,029.81/x
  3. Step 3: Cross multiply
    2,398.96x = 3,581.31 × 2,029.81
  4. Step 4: Simplify right side
    2,398.96x = 7,269,366.02
  5. Step 5: Solve for x
    x = 7,269,366.02/2,398.96
  6. Step 6: Final answer
    x = 3,030.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.