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Finding the Fourth Proportional to 2,779.58, 3,813.21 and 2,706.95

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Solution

The fourth proportional to 2,779.58, 3,813.21 and 2,706.95 is: 3,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.58 : 3,813.21 = 2,706.95 : x
  2. Step 2: Convert to fraction form
    2,779.58/3,813.21 = 2,706.95/x
  3. Step 3: Cross multiply
    2,779.58x = 3,813.21 × 2,706.95
  4. Step 4: Simplify right side
    2,779.58x = 10,322,178.34
  5. Step 5: Solve for x
    x = 10,322,178.34/2,779.58
  6. Step 6: Final answer
    x = 3,713.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.