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Finding the Fourth Proportional to 7,122, 9,828.39 and 3,978.96

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Solution

The fourth proportional to 7,122, 9,828.39 and 3,978.96 is: 5,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122 : 9,828.39 = 3,978.96 : x
  2. Step 2: Convert to fraction form
    7,122/9,828.39 = 3,978.96/x
  3. Step 3: Cross multiply
    7,122x = 9,828.39 × 3,978.96
  4. Step 4: Simplify right side
    7,122x = 39,106,770.67
  5. Step 5: Solve for x
    x = 39,106,770.67/7,122
  6. Step 6: Final answer
    x = 5,490.98

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Why These Related Problems?

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