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Finding the Fourth Proportional to 1,382.84, 2,064.14 and 1,218.82

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Solution

The fourth proportional to 1,382.84, 2,064.14 and 1,218.82 is: 1,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.84 : 2,064.14 = 1,218.82 : x
  2. Step 2: Convert to fraction form
    1,382.84/2,064.14 = 1,218.82/x
  3. Step 3: Cross multiply
    1,382.84x = 2,064.14 × 1,218.82
  4. Step 4: Simplify right side
    1,382.84x = 2,515,815.11
  5. Step 5: Solve for x
    x = 2,515,815.11/1,382.84
  6. Step 6: Final answer
    x = 1,819.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.