Home / 2,511-3,767.82-1,823.35

Finding the Fourth Proportional to 2,511, 3,767.82 and 1,823.35

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Solution

The fourth proportional to 2,511, 3,767.82 and 1,823.35 is: 2,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,767.82 = 1,823.35 : x
  2. Step 2: Convert to fraction form
    2,511/3,767.82 = 1,823.35/x
  3. Step 3: Cross multiply
    2,511x = 3,767.82 × 1,823.35
  4. Step 4: Simplify right side
    2,511x = 6,870,045.48
  5. Step 5: Solve for x
    x = 6,870,045.48/2,511
  6. Step 6: Final answer
    x = 2,735.98

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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.