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Finding the Fourth Proportional to 2,556, 3,831.71 and 912.31

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Solution

The fourth proportional to 2,556, 3,831.71 and 912.31 is: 1,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556 : 3,831.71 = 912.31 : x
  2. Step 2: Convert to fraction form
    2,556/3,831.71 = 912.31/x
  3. Step 3: Cross multiply
    2,556x = 3,831.71 × 912.31
  4. Step 4: Simplify right side
    2,556x = 3,495,700.05
  5. Step 5: Solve for x
    x = 3,495,700.05/2,556
  6. Step 6: Final answer
    x = 1,367.64

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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.