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Finding the Fourth Proportional to 2,779.19, 3,835.29 and 1,537.19

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Solution

The fourth proportional to 2,779.19, 3,835.29 and 1,537.19 is: 2,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.19 : 3,835.29 = 1,537.19 : x
  2. Step 2: Convert to fraction form
    2,779.19/3,835.29 = 1,537.19/x
  3. Step 3: Cross multiply
    2,779.19x = 3,835.29 × 1,537.19
  4. Step 4: Simplify right side
    2,779.19x = 5,895,569.44
  5. Step 5: Solve for x
    x = 5,895,569.44/2,779.19
  6. Step 6: Final answer
    x = 2,121.33

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1.5x scale

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.