Home / 1,519.39-2,280.43-826.74

Finding the Fourth Proportional to 1,519.39, 2,280.43 and 826.74

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Solution

The fourth proportional to 1,519.39, 2,280.43 and 826.74 is: 1,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.39 : 2,280.43 = 826.74 : x
  2. Step 2: Convert to fraction form
    1,519.39/2,280.43 = 826.74/x
  3. Step 3: Cross multiply
    1,519.39x = 2,280.43 × 826.74
  4. Step 4: Simplify right side
    1,519.39x = 1,885,322.70
  5. Step 5: Solve for x
    x = 1,885,322.70/1,519.39
  6. Step 6: Final answer
    x = 1,240.84

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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.