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Finding the Fourth Proportional to 6,483.20, 8,945.29 and 3,831.01

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Solution

The fourth proportional to 6,483.20, 8,945.29 and 3,831.01 is: 5,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.20 : 8,945.29 = 3,831.01 : x
  2. Step 2: Convert to fraction form
    6,483.20/8,945.29 = 3,831.01/x
  3. Step 3: Cross multiply
    6,483.20x = 8,945.29 × 3,831.01
  4. Step 4: Simplify right side
    6,483.20x = 34,269,495.44
  5. Step 5: Solve for x
    x = 34,269,495.44/6,483.20
  6. Step 6: Final answer
    x = 5,285.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.