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Finding the Fourth Proportional to 9,831.42, 13,491.06 and 8,940.42

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Solution

The fourth proportional to 9,831.42, 13,491.06 and 8,940.42 is: 12,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.42 : 13,491.06 = 8,940.42 : x
  2. Step 2: Convert to fraction form
    9,831.42/13,491.06 = 8,940.42/x
  3. Step 3: Cross multiply
    9,831.42x = 13,491.06 × 8,940.42
  4. Step 4: Simplify right side
    9,831.42x = 120,615,709.12
  5. Step 5: Solve for x
    x = 120,615,709.12/9,831.42
  6. Step 6: Final answer
    x = 12,268.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.