Home / 6,821.54-10,232-2,141.44

Finding the Fourth Proportional to 6,821.54, 10,232 and 2,141.44

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Solution

The fourth proportional to 6,821.54, 10,232 and 2,141.44 is: 3,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.54 : 10,232 = 2,141.44 : x
  2. Step 2: Convert to fraction form
    6,821.54/10,232 = 2,141.44/x
  3. Step 3: Cross multiply
    6,821.54x = 10,232 × 2,141.44
  4. Step 4: Simplify right side
    6,821.54x = 21,911,214.08
  5. Step 5: Solve for x
    x = 21,911,214.08/6,821.54
  6. Step 6: Final answer
    x = 3,212.06

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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.