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Finding the Fourth Proportional to 2,315.76, 3,192.84 and 1,842.54

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Solution

The fourth proportional to 2,315.76, 3,192.84 and 1,842.54 is: 2,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.76 : 3,192.84 = 1,842.54 : x
  2. Step 2: Convert to fraction form
    2,315.76/3,192.84 = 1,842.54/x
  3. Step 3: Cross multiply
    2,315.76x = 3,192.84 × 1,842.54
  4. Step 4: Simplify right side
    2,315.76x = 5,882,935.41
  5. Step 5: Solve for x
    x = 5,882,935.41/2,315.76
  6. Step 6: Final answer
    x = 2,540.39

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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.