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Finding the Fourth Proportional to 2,556.30, 3,833.48 and 912.54

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Solution

The fourth proportional to 2,556.30, 3,833.48 and 912.54 is: 1,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.30 : 3,833.48 = 912.54 : x
  2. Step 2: Convert to fraction form
    2,556.30/3,833.48 = 912.54/x
  3. Step 3: Cross multiply
    2,556.30x = 3,833.48 × 912.54
  4. Step 4: Simplify right side
    2,556.30x = 3,498,203.84
  5. Step 5: Solve for x
    x = 3,498,203.84/2,556.30
  6. Step 6: Final answer
    x = 1,368.46

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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.