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Finding the Fourth Proportional to 6,483.90, 8,947.42 and 3,831.56

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Solution

The fourth proportional to 6,483.90, 8,947.42 and 3,831.56 is: 5,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.90 : 8,947.42 = 3,831.56 : x
  2. Step 2: Convert to fraction form
    6,483.90/8,947.42 = 3,831.56/x
  3. Step 3: Cross multiply
    6,483.90x = 8,947.42 × 3,831.56
  4. Step 4: Simplify right side
    6,483.90x = 34,282,522.26
  5. Step 5: Solve for x
    x = 34,282,522.26/6,483.90
  6. Step 6: Final answer
    x = 5,287.33

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1.5x scale

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.