Home / 2,822.16-3,894.64-1,643.28

Finding the Fourth Proportional to 2,822.16, 3,894.64 and 1,643.28

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Solution

The fourth proportional to 2,822.16, 3,894.64 and 1,643.28 is: 2,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.16 : 3,894.64 = 1,643.28 : x
  2. Step 2: Convert to fraction form
    2,822.16/3,894.64 = 1,643.28/x
  3. Step 3: Cross multiply
    2,822.16x = 3,894.64 × 1,643.28
  4. Step 4: Simplify right side
    2,822.16x = 6,399,984.02
  5. Step 5: Solve for x
    x = 6,399,984.02/2,822.16
  6. Step 6: Final answer
    x = 2,267.76

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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.