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Finding the Fourth Proportional to 3,852.85, 5,779.27 and 931.15

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Solution

The fourth proportional to 3,852.85, 5,779.27 and 931.15 is: 1,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.85 : 5,779.27 = 931.15 : x
  2. Step 2: Convert to fraction form
    3,852.85/5,779.27 = 931.15/x
  3. Step 3: Cross multiply
    3,852.85x = 5,779.27 × 931.15
  4. Step 4: Simplify right side
    3,852.85x = 5,381,394.52
  5. Step 5: Solve for x
    x = 5,381,394.52/3,852.85
  6. Step 6: Final answer
    x = 1,396.73

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Similar ratio
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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.