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Finding the Fourth Proportional to 2,779.56, 3,835.80 and 1,537.56

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Solution

The fourth proportional to 2,779.56, 3,835.80 and 1,537.56 is: 2,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.56 : 3,835.80 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    2,779.56/3,835.80 = 1,537.56/x
  3. Step 3: Cross multiply
    2,779.56x = 3,835.80 × 1,537.56
  4. Step 4: Simplify right side
    2,779.56x = 5,897,772.65
  5. Step 5: Solve for x
    x = 5,897,772.65/2,779.56
  6. Step 6: Final answer
    x = 2,121.84

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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.