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Finding the Fourth Proportional to 2,758.93, 4,138.45 and 811.13

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Solution

The fourth proportional to 2,758.93, 4,138.45 and 811.13 is: 1,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.93 : 4,138.45 = 811.13 : x
  2. Step 2: Convert to fraction form
    2,758.93/4,138.45 = 811.13/x
  3. Step 3: Cross multiply
    2,758.93x = 4,138.45 × 811.13
  4. Step 4: Simplify right side
    2,758.93x = 3,356,820.95
  5. Step 5: Solve for x
    x = 3,356,820.95/2,758.93
  6. Step 6: Final answer
    x = 1,216.71

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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.