Home / 1,589.74-2,381.64-1,418.14

Finding the Fourth Proportional to 1,589.74, 2,381.64 and 1,418.14

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Solution

The fourth proportional to 1,589.74, 2,381.64 and 1,418.14 is: 2,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.74 : 2,381.64 = 1,418.14 : x
  2. Step 2: Convert to fraction form
    1,589.74/2,381.64 = 1,418.14/x
  3. Step 3: Cross multiply
    1,589.74x = 2,381.64 × 1,418.14
  4. Step 4: Simplify right side
    1,589.74x = 3,377,498.95
  5. Step 5: Solve for x
    x = 3,377,498.95/1,589.74
  6. Step 6: Final answer
    x = 2,124.56

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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.