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Finding the Fourth Proportional to 1,293.99, 1,785.89 and 1,214.81

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Solution

The fourth proportional to 1,293.99, 1,785.89 and 1,214.81 is: 1,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.99 : 1,785.89 = 1,214.81 : x
  2. Step 2: Convert to fraction form
    1,293.99/1,785.89 = 1,214.81/x
  3. Step 3: Cross multiply
    1,293.99x = 1,785.89 × 1,214.81
  4. Step 4: Simplify right side
    1,293.99x = 2,169,517.03
  5. Step 5: Solve for x
    x = 2,169,517.03/1,293.99
  6. Step 6: Final answer
    x = 1,676.61

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Why These Related Problems?

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