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Finding the Fourth Proportional to 2,779.75, 3,836.10 and 1,537.75

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Solution

The fourth proportional to 2,779.75, 3,836.10 and 1,537.75 is: 2,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.75 : 3,836.10 = 1,537.75 : x
  2. Step 2: Convert to fraction form
    2,779.75/3,836.10 = 1,537.75/x
  3. Step 3: Cross multiply
    2,779.75x = 3,836.10 × 1,537.75
  4. Step 4: Simplify right side
    2,779.75x = 5,898,962.78
  5. Step 5: Solve for x
    x = 5,898,962.78/2,779.75
  6. Step 6: Final answer
    x = 2,122.12

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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.