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Finding the Fourth Proportional to 1,950.66, 2,923.26 and 1,300.04

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Solution

The fourth proportional to 1,950.66, 2,923.26 and 1,300.04 is: 1,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.66 : 2,923.26 = 1,300.04 : x
  2. Step 2: Convert to fraction form
    1,950.66/2,923.26 = 1,300.04/x
  3. Step 3: Cross multiply
    1,950.66x = 2,923.26 × 1,300.04
  4. Step 4: Simplify right side
    1,950.66x = 3,800,340.31
  5. Step 5: Solve for x
    x = 3,800,340.31/1,950.66
  6. Step 6: Final answer
    x = 1,948.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.