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Finding the Fourth Proportional to 7,342, 11,010.84 and 2,146.64

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Solution

The fourth proportional to 7,342, 11,010.84 and 2,146.64 is: 3,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342 : 11,010.84 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    7,342/11,010.84 = 2,146.64/x
  3. Step 3: Cross multiply
    7,342x = 11,010.84 × 2,146.64
  4. Step 4: Simplify right side
    7,342x = 23,636,309.58
  5. Step 5: Solve for x
    x = 23,636,309.58/7,342
  6. Step 6: Final answer
    x = 3,219.33

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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.