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Finding the Fourth Proportional to 1,969.07, 2,950.11 and 1,754.55

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Solution

The fourth proportional to 1,969.07, 2,950.11 and 1,754.55 is: 2,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.07 : 2,950.11 = 1,754.55 : x
  2. Step 2: Convert to fraction form
    1,969.07/2,950.11 = 1,754.55/x
  3. Step 3: Cross multiply
    1,969.07x = 2,950.11 × 1,754.55
  4. Step 4: Simplify right side
    1,969.07x = 5,176,115.50
  5. Step 5: Solve for x
    x = 5,176,115.50/1,969.07
  6. Step 6: Final answer
    x = 2,628.72

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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.