Home / 7,821.84-11,732.40-1,978.56

Finding the Fourth Proportional to 7,821.84, 11,732.40 and 1,978.56

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Solution

The fourth proportional to 7,821.84, 11,732.40 and 1,978.56 is: 2,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.84 : 11,732.40 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    7,821.84/11,732.40 = 1,978.56/x
  3. Step 3: Cross multiply
    7,821.84x = 11,732.40 × 1,978.56
  4. Step 4: Simplify right side
    7,821.84x = 23,213,257.34
  5. Step 5: Solve for x
    x = 23,213,257.34/7,821.84
  6. Step 6: Final answer
    x = 2,967.75

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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.