Home / 2,781.83-3,842.30-2,200.07

Finding the Fourth Proportional to 2,781.83, 3,842.30 and 2,200.07

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Solution

The fourth proportional to 2,781.83, 3,842.30 and 2,200.07 is: 3,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.83 : 3,842.30 = 2,200.07 : x
  2. Step 2: Convert to fraction form
    2,781.83/3,842.30 = 2,200.07/x
  3. Step 3: Cross multiply
    2,781.83x = 3,842.30 × 2,200.07
  4. Step 4: Simplify right side
    2,781.83x = 8,453,328.96
  5. Step 5: Solve for x
    x = 8,453,328.96/2,781.83
  6. Step 6: Final answer
    x = 3,038.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.