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Finding the Fourth Proportional to 1,579.81, 2,371.32 and 1,424.68

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Solution

The fourth proportional to 1,579.81, 2,371.32 and 1,424.68 is: 2,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.81 : 2,371.32 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    1,579.81/2,371.32 = 1,424.68/x
  3. Step 3: Cross multiply
    1,579.81x = 2,371.32 × 1,424.68
  4. Step 4: Simplify right side
    1,579.81x = 3,378,378.11
  5. Step 5: Solve for x
    x = 3,378,378.11/1,579.81
  6. Step 6: Final answer
    x = 2,138.47

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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.