Home / 1,589.74-2,385-1,284.36

Finding the Fourth Proportional to 1,589.74, 2,385 and 1,284.36

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Solution

The fourth proportional to 1,589.74, 2,385 and 1,284.36 is: 1,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.74 : 2,385 = 1,284.36 : x
  2. Step 2: Convert to fraction form
    1,589.74/2,385 = 1,284.36/x
  3. Step 3: Cross multiply
    1,589.74x = 2,385 × 1,284.36
  4. Step 4: Simplify right side
    1,589.74x = 3,063,198.60
  5. Step 5: Solve for x
    x = 3,063,198.60/1,589.74
  6. Step 6: Final answer
    x = 1,926.86

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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.