Home / 7,821.73-11,732.63-1,978.34

Finding the Fourth Proportional to 7,821.73, 11,732.63 and 1,978.34

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Solution

The fourth proportional to 7,821.73, 11,732.63 and 1,978.34 is: 2,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.73 : 11,732.63 = 1,978.34 : x
  2. Step 2: Convert to fraction form
    7,821.73/11,732.63 = 1,978.34/x
  3. Step 3: Cross multiply
    7,821.73x = 11,732.63 × 1,978.34
  4. Step 4: Simplify right side
    7,821.73x = 23,211,160.57
  5. Step 5: Solve for x
    x = 23,211,160.57/7,821.73
  6. Step 6: Final answer
    x = 2,967.52

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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.