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Finding the Fourth Proportional to 3,779.78, 5,669.70 and 1,182.80

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Solution

The fourth proportional to 3,779.78, 5,669.70 and 1,182.80 is: 1,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.78 : 5,669.70 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    3,779.78/5,669.70 = 1,182.80/x
  3. Step 3: Cross multiply
    3,779.78x = 5,669.70 × 1,182.80
  4. Step 4: Simplify right side
    3,779.78x = 6,706,121.16
  5. Step 5: Solve for x
    x = 6,706,121.16/3,779.78
  6. Step 6: Final answer
    x = 1,774.21

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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.