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Finding the Fourth Proportional to 2,831.09, 4,245.08 and 982.04

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Solution

The fourth proportional to 2,831.09, 4,245.08 and 982.04 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.09 : 4,245.08 = 982.04 : x
  2. Step 2: Convert to fraction form
    2,831.09/4,245.08 = 982.04/x
  3. Step 3: Cross multiply
    2,831.09x = 4,245.08 × 982.04
  4. Step 4: Simplify right side
    2,831.09x = 4,168,812.23
  5. Step 5: Solve for x
    x = 4,168,812.23/2,831.09
  6. Step 6: Final answer
    x = 1,472.51

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1.5x scale

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.