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Finding the Fourth Proportional to 1,907.88, 2,860.94 and 811.88

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Solution

The fourth proportional to 1,907.88, 2,860.94 and 811.88 is: 1,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.88 : 2,860.94 = 811.88 : x
  2. Step 2: Convert to fraction form
    1,907.88/2,860.94 = 811.88/x
  3. Step 3: Cross multiply
    1,907.88x = 2,860.94 × 811.88
  4. Step 4: Simplify right side
    1,907.88x = 2,322,739.97
  5. Step 5: Solve for x
    x = 2,322,739.97/1,907.88
  6. Step 6: Final answer
    x = 1,217.45

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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.