Home / 1,822.75-2,513.89-1,158.44

Finding the Fourth Proportional to 1,822.75, 2,513.89 and 1,158.44

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Solution

The fourth proportional to 1,822.75, 2,513.89 and 1,158.44 is: 1,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.75 : 2,513.89 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    1,822.75/2,513.89 = 1,158.44/x
  3. Step 3: Cross multiply
    1,822.75x = 2,513.89 × 1,158.44
  4. Step 4: Simplify right side
    1,822.75x = 2,912,194.12
  5. Step 5: Solve for x
    x = 2,912,194.12/1,822.75
  6. Step 6: Final answer
    x = 1,597.69

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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.