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Finding the Fourth Proportional to 1,891.98, 2,612.14 and 1,295.47

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Solution

The fourth proportional to 1,891.98, 2,612.14 and 1,295.47 is: 1,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.98 : 2,612.14 = 1,295.47 : x
  2. Step 2: Convert to fraction form
    1,891.98/2,612.14 = 1,295.47/x
  3. Step 3: Cross multiply
    1,891.98x = 2,612.14 × 1,295.47
  4. Step 4: Simplify right side
    1,891.98x = 3,383,956.39
  5. Step 5: Solve for x
    x = 3,383,956.39/1,891.98
  6. Step 6: Final answer
    x = 1,788.58

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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.