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Finding the Fourth Proportional to 2,978.26, 4,467.30 and 787

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Solution

The fourth proportional to 2,978.26, 4,467.30 and 787 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.26 : 4,467.30 = 787 : x
  2. Step 2: Convert to fraction form
    2,978.26/4,467.30 = 787/x
  3. Step 3: Cross multiply
    2,978.26x = 4,467.30 × 787
  4. Step 4: Simplify right side
    2,978.26x = 3,515,765.10
  5. Step 5: Solve for x
    x = 3,515,765.10/2,978.26
  6. Step 6: Final answer
    x = 1,180.48

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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.