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Finding the Fourth Proportional to 2,216.53, 3,053.64 and 1,822.87

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Solution

The fourth proportional to 2,216.53, 3,053.64 and 1,822.87 is: 2,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.53 : 3,053.64 = 1,822.87 : x
  2. Step 2: Convert to fraction form
    2,216.53/3,053.64 = 1,822.87/x
  3. Step 3: Cross multiply
    2,216.53x = 3,053.64 × 1,822.87
  4. Step 4: Simplify right side
    2,216.53x = 5,566,388.75
  5. Step 5: Solve for x
    x = 5,566,388.75/2,216.53
  6. Step 6: Final answer
    x = 2,511.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.