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Finding the Fourth Proportional to 3,858.34, 5,779.79 and 1,775.49

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Solution

The fourth proportional to 3,858.34, 5,779.79 and 1,775.49 is: 2,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.34 : 5,779.79 = 1,775.49 : x
  2. Step 2: Convert to fraction form
    3,858.34/5,779.79 = 1,775.49/x
  3. Step 3: Cross multiply
    3,858.34x = 5,779.79 × 1,775.49
  4. Step 4: Simplify right side
    3,858.34x = 10,261,959.35
  5. Step 5: Solve for x
    x = 10,261,959.35/3,858.34
  6. Step 6: Final answer
    x = 2,659.68

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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.