Home / 1,968.36-2,712.42-1,842

Finding the Fourth Proportional to 1,968.36, 2,712.42 and 1,842

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Solution

The fourth proportional to 1,968.36, 2,712.42 and 1,842 is: 2,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.36 : 2,712.42 = 1,842 : x
  2. Step 2: Convert to fraction form
    1,968.36/2,712.42 = 1,842/x
  3. Step 3: Cross multiply
    1,968.36x = 2,712.42 × 1,842
  4. Step 4: Simplify right side
    1,968.36x = 4,996,277.64
  5. Step 5: Solve for x
    x = 4,996,277.64/1,968.36
  6. Step 6: Final answer
    x = 2,538.29

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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.