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Finding the Fourth Proportional to 2,757.88, 3,806.58 and 1,709.34

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Solution

The fourth proportional to 2,757.88, 3,806.58 and 1,709.34 is: 2,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.88 : 3,806.58 = 1,709.34 : x
  2. Step 2: Convert to fraction form
    2,757.88/3,806.58 = 1,709.34/x
  3. Step 3: Cross multiply
    2,757.88x = 3,806.58 × 1,709.34
  4. Step 4: Simplify right side
    2,757.88x = 6,506,739.46
  5. Step 5: Solve for x
    x = 6,506,739.46/2,757.88
  6. Step 6: Final answer
    x = 2,359.33

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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.