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Finding the Fourth Proportional to 2,773.49, 3,826.43 and 1,779.30

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Solution

The fourth proportional to 2,773.49, 3,826.43 and 1,779.30 is: 2,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.49 : 3,826.43 = 1,779.30 : x
  2. Step 2: Convert to fraction form
    2,773.49/3,826.43 = 1,779.30/x
  3. Step 3: Cross multiply
    2,773.49x = 3,826.43 × 1,779.30
  4. Step 4: Simplify right side
    2,773.49x = 6,808,364.67
  5. Step 5: Solve for x
    x = 6,808,364.67/2,773.49
  6. Step 6: Final answer
    x = 2,454.80

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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.