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Finding the Fourth Proportional to 2,917.22, 4,375.82 and 1,187.06

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Solution

The fourth proportional to 2,917.22, 4,375.82 and 1,187.06 is: 1,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.22 : 4,375.82 = 1,187.06 : x
  2. Step 2: Convert to fraction form
    2,917.22/4,375.82 = 1,187.06/x
  3. Step 3: Cross multiply
    2,917.22x = 4,375.82 × 1,187.06
  4. Step 4: Simplify right side
    2,917.22x = 5,194,341.98
  5. Step 5: Solve for x
    x = 5,194,341.98/2,917.22
  6. Step 6: Final answer
    x = 1,780.58

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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.