Home / 1,218.24-1,825.20-847.26

Finding the Fourth Proportional to 1,218.24, 1,825.20 and 847.26

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Solution

The fourth proportional to 1,218.24, 1,825.20 and 847.26 is: 1,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.24 : 1,825.20 = 847.26 : x
  2. Step 2: Convert to fraction form
    1,218.24/1,825.20 = 847.26/x
  3. Step 3: Cross multiply
    1,218.24x = 1,825.20 × 847.26
  4. Step 4: Simplify right side
    1,218.24x = 1,546,418.95
  5. Step 5: Solve for x
    x = 1,546,418.95/1,218.24
  6. Step 6: Final answer
    x = 1,269.39

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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.