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Finding the Fourth Proportional to 1,969.40, 2,954.64 and 1,559.90

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Solution

The fourth proportional to 1,969.40, 2,954.64 and 1,559.90 is: 2,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.40 : 2,954.64 = 1,559.90 : x
  2. Step 2: Convert to fraction form
    1,969.40/2,954.64 = 1,559.90/x
  3. Step 3: Cross multiply
    1,969.40x = 2,954.64 × 1,559.90
  4. Step 4: Simplify right side
    1,969.40x = 4,608,942.94
  5. Step 5: Solve for x
    x = 4,608,942.94/1,969.40
  6. Step 6: Final answer
    x = 2,340.28

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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.