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Finding the Fourth Proportional to 1,224.90, 1,847.22 and 1,208.52

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Solution

The fourth proportional to 1,224.90, 1,847.22 and 1,208.52 is: 1,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.90 : 1,847.22 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    1,224.90/1,847.22 = 1,208.52/x
  3. Step 3: Cross multiply
    1,224.90x = 1,847.22 × 1,208.52
  4. Step 4: Simplify right side
    1,224.90x = 2,232,402.31
  5. Step 5: Solve for x
    x = 2,232,402.31/1,224.90
  6. Step 6: Final answer
    x = 1,822.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.