Home / 7,878.48-11,822.64-3,198.50

Finding the Fourth Proportional to 7,878.48, 11,822.64 and 3,198.50

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Solution

The fourth proportional to 7,878.48, 11,822.64 and 3,198.50 is: 4,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.48 : 11,822.64 = 3,198.50 : x
  2. Step 2: Convert to fraction form
    7,878.48/11,822.64 = 3,198.50/x
  3. Step 3: Cross multiply
    7,878.48x = 11,822.64 × 3,198.50
  4. Step 4: Simplify right side
    7,878.48x = 37,814,714.04
  5. Step 5: Solve for x
    x = 37,814,714.04/7,878.48
  6. Step 6: Final answer
    x = 4,799.75

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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.