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Finding the Fourth Proportional to 3,100, 4,278.13 and 1,842.14

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Solution

The fourth proportional to 3,100, 4,278.13 and 1,842.14 is: 2,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100 : 4,278.13 = 1,842.14 : x
  2. Step 2: Convert to fraction form
    3,100/4,278.13 = 1,842.14/x
  3. Step 3: Cross multiply
    3,100x = 4,278.13 × 1,842.14
  4. Step 4: Simplify right side
    3,100x = 7,880,914.40
  5. Step 5: Solve for x
    x = 7,880,914.40/3,100
  6. Step 6: Final answer
    x = 2,542.23

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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.