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Finding the Fourth Proportional to 2,370.99, 3,556.50 and 911.16

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Solution

The fourth proportional to 2,370.99, 3,556.50 and 911.16 is: 1,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.99 : 3,556.50 = 911.16 : x
  2. Step 2: Convert to fraction form
    2,370.99/3,556.50 = 911.16/x
  3. Step 3: Cross multiply
    2,370.99x = 3,556.50 × 911.16
  4. Step 4: Simplify right side
    2,370.99x = 3,240,540.54
  5. Step 5: Solve for x
    x = 3,240,540.54/2,370.99
  6. Step 6: Final answer
    x = 1,366.75

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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.