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Finding the Fourth Proportional to 2,447.94, 3,669.12 and 1,216.20

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Solution

The fourth proportional to 2,447.94, 3,669.12 and 1,216.20 is: 1,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.94 : 3,669.12 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    2,447.94/3,669.12 = 1,216.20/x
  3. Step 3: Cross multiply
    2,447.94x = 3,669.12 × 1,216.20
  4. Step 4: Simplify right side
    2,447.94x = 4,462,383.74
  5. Step 5: Solve for x
    x = 4,462,383.74/2,447.94
  6. Step 6: Final answer
    x = 1,822.91

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Why These Related Problems?

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