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Finding the Fourth Proportional to 1,984.58, 2,740.05 and 1,774.08

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Solution

The fourth proportional to 1,984.58, 2,740.05 and 1,774.08 is: 2,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.58 : 2,740.05 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    1,984.58/2,740.05 = 1,774.08/x
  3. Step 3: Cross multiply
    1,984.58x = 2,740.05 × 1,774.08
  4. Step 4: Simplify right side
    1,984.58x = 4,861,067.90
  5. Step 5: Solve for x
    x = 4,861,067.90/1,984.58
  6. Step 6: Final answer
    x = 2,449.43

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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.