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Finding the Fourth Proportional to 2,883.96, 3,953.93 and 2,831.42

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Solution

The fourth proportional to 2,883.96, 3,953.93 and 2,831.42 is: 3,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.96 : 3,953.93 = 2,831.42 : x
  2. Step 2: Convert to fraction form
    2,883.96/3,953.93 = 2,831.42/x
  3. Step 3: Cross multiply
    2,883.96x = 3,953.93 × 2,831.42
  4. Step 4: Simplify right side
    2,883.96x = 11,195,232.21
  5. Step 5: Solve for x
    x = 11,195,232.21/2,883.96
  6. Step 6: Final answer
    x = 3,881.90

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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.