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Finding the Fourth Proportional to 2,966.63, 4,449.92 and 1,212.58

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Solution

The fourth proportional to 2,966.63, 4,449.92 and 1,212.58 is: 1,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 4,449.92 = 1,212.58 : x
  2. Step 2: Convert to fraction form
    2,966.63/4,449.92 = 1,212.58/x
  3. Step 3: Cross multiply
    2,966.63x = 4,449.92 × 1,212.58
  4. Step 4: Simplify right side
    2,966.63x = 5,395,866.81
  5. Step 5: Solve for x
    x = 5,395,866.81/2,966.63
  6. Step 6: Final answer
    x = 1,818.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.