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Finding the Fourth Proportional to 2,757.78, 3,806.19 and 2,014.20

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Solution

The fourth proportional to 2,757.78, 3,806.19 and 2,014.20 is: 2,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 3,806.19 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,757.78/3,806.19 = 2,014.20/x
  3. Step 3: Cross multiply
    2,757.78x = 3,806.19 × 2,014.20
  4. Step 4: Simplify right side
    2,757.78x = 7,666,427.90
  5. Step 5: Solve for x
    x = 7,666,427.90/2,757.78
  6. Step 6: Final answer
    x = 2,779.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.