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Finding the Fourth Proportional to 2,969.81, 4,097.88 and 1,774.43

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Solution

The fourth proportional to 2,969.81, 4,097.88 and 1,774.43 is: 2,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.81 : 4,097.88 = 1,774.43 : x
  2. Step 2: Convert to fraction form
    2,969.81/4,097.88 = 1,774.43/x
  3. Step 3: Cross multiply
    2,969.81x = 4,097.88 × 1,774.43
  4. Step 4: Simplify right side
    2,969.81x = 7,271,380.72
  5. Step 5: Solve for x
    x = 7,271,380.72/2,969.81
  6. Step 6: Final answer
    x = 2,448.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.