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Finding the Fourth Proportional to 2,606.95, 3,911.01 and 758.21

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Solution

The fourth proportional to 2,606.95, 3,911.01 and 758.21 is: 1,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.95 : 3,911.01 = 758.21 : x
  2. Step 2: Convert to fraction form
    2,606.95/3,911.01 = 758.21/x
  3. Step 3: Cross multiply
    2,606.95x = 3,911.01 × 758.21
  4. Step 4: Simplify right side
    2,606.95x = 2,965,366.49
  5. Step 5: Solve for x
    x = 2,965,366.49/2,606.95
  6. Step 6: Final answer
    x = 1,137.48

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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.