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Finding the Fourth Proportional to 1,291.74, 1,947.35 and 1,208.22

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Solution

The fourth proportional to 1,291.74, 1,947.35 and 1,208.22 is: 1,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.74 : 1,947.35 = 1,208.22 : x
  2. Step 2: Convert to fraction form
    1,291.74/1,947.35 = 1,208.22/x
  3. Step 3: Cross multiply
    1,291.74x = 1,947.35 × 1,208.22
  4. Step 4: Simplify right side
    1,291.74x = 2,352,821.18
  5. Step 5: Solve for x
    x = 2,352,821.18/1,291.74
  6. Step 6: Final answer
    x = 1,821.44

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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.