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Finding the Fourth Proportional to 2,370, 3,556.62 and 831

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Solution

The fourth proportional to 2,370, 3,556.62 and 831 is: 1,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,556.62 = 831 : x
  2. Step 2: Convert to fraction form
    2,370/3,556.62 = 831/x
  3. Step 3: Cross multiply
    2,370x = 3,556.62 × 831
  4. Step 4: Simplify right side
    2,370x = 2,955,551.22
  5. Step 5: Solve for x
    x = 2,955,551.22/2,370
  6. Step 6: Final answer
    x = 1,247.07

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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.