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Finding the Fourth Proportional to 1,385, 2,074.84 and 1,090.95

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Solution

The fourth proportional to 1,385, 2,074.84 and 1,090.95 is: 1,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385 : 2,074.84 = 1,090.95 : x
  2. Step 2: Convert to fraction form
    1,385/2,074.84 = 1,090.95/x
  3. Step 3: Cross multiply
    1,385x = 2,074.84 × 1,090.95
  4. Step 4: Simplify right side
    1,385x = 2,263,530.87
  5. Step 5: Solve for x
    x = 2,263,530.87/1,385
  6. Step 6: Final answer
    x = 1,634.32

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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.