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Finding the Fourth Proportional to 7,122, 9,828.42 and 3,978.84

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Solution

The fourth proportional to 7,122, 9,828.42 and 3,978.84 is: 5,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122 : 9,828.42 = 3,978.84 : x
  2. Step 2: Convert to fraction form
    7,122/9,828.42 = 3,978.84/x
  3. Step 3: Cross multiply
    7,122x = 9,828.42 × 3,978.84
  4. Step 4: Simplify right side
    7,122x = 39,105,710.63
  5. Step 5: Solve for x
    x = 39,105,710.63/7,122
  6. Step 6: Final answer
    x = 5,490.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.