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Finding the Fourth Proportional to 2,779.42, 4,169.77 and 1,219.42

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Solution

The fourth proportional to 2,779.42, 4,169.77 and 1,219.42 is: 1,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.42 : 4,169.77 = 1,219.42 : x
  2. Step 2: Convert to fraction form
    2,779.42/4,169.77 = 1,219.42/x
  3. Step 3: Cross multiply
    2,779.42x = 4,169.77 × 1,219.42
  4. Step 4: Simplify right side
    2,779.42x = 5,084,700.93
  5. Step 5: Solve for x
    x = 5,084,700.93/2,779.42
  6. Step 6: Final answer
    x = 1,829.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.