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Finding the Fourth Proportional to 2,846.91, 3,930.68 and 2,182.59

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Solution

The fourth proportional to 2,846.91, 3,930.68 and 2,182.59 is: 3,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.91 : 3,930.68 = 2,182.59 : x
  2. Step 2: Convert to fraction form
    2,846.91/3,930.68 = 2,182.59/x
  3. Step 3: Cross multiply
    2,846.91x = 3,930.68 × 2,182.59
  4. Step 4: Simplify right side
    2,846.91x = 8,579,051.95
  5. Step 5: Solve for x
    x = 8,579,051.95/2,846.91
  6. Step 6: Final answer
    x = 3,013.46

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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.