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Finding the Fourth Proportional to 1,950.71, 2,693.79 and 1,253.30

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Solution

The fourth proportional to 1,950.71, 2,693.79 and 1,253.30 is: 1,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.71 : 2,693.79 = 1,253.30 : x
  2. Step 2: Convert to fraction form
    1,950.71/2,693.79 = 1,253.30/x
  3. Step 3: Cross multiply
    1,950.71x = 2,693.79 × 1,253.30
  4. Step 4: Simplify right side
    1,950.71x = 3,376,113.54
  5. Step 5: Solve for x
    x = 3,376,113.54/1,950.71
  6. Step 6: Final answer
    x = 1,730.71

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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.