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Finding the Fourth Proportional to 2,831.02, 4,244.70 and 982

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Solution

The fourth proportional to 2,831.02, 4,244.70 and 982 is: 1,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.02 : 4,244.70 = 982 : x
  2. Step 2: Convert to fraction form
    2,831.02/4,244.70 = 982/x
  3. Step 3: Cross multiply
    2,831.02x = 4,244.70 × 982
  4. Step 4: Simplify right side
    2,831.02x = 4,168,295.40
  5. Step 5: Solve for x
    x = 4,168,295.40/2,831.02
  6. Step 6: Final answer
    x = 1,472.37

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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.