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Finding the Fourth Proportional to 1,257.69, 1,873.14 and 1,243.11

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Solution

The fourth proportional to 1,257.69, 1,873.14 and 1,243.11 is: 1,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.69 : 1,873.14 = 1,243.11 : x
  2. Step 2: Convert to fraction form
    1,257.69/1,873.14 = 1,243.11/x
  3. Step 3: Cross multiply
    1,257.69x = 1,873.14 × 1,243.11
  4. Step 4: Simplify right side
    1,257.69x = 2,328,519.07
  5. Step 5: Solve for x
    x = 2,328,519.07/1,257.69
  6. Step 6: Final answer
    x = 1,851.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.