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Finding the Fourth Proportional to 5,431.73, 8,142.73 and 2,831.63

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Solution

The fourth proportional to 5,431.73, 8,142.73 and 2,831.63 is: 4,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.73 : 8,142.73 = 2,831.63 : x
  2. Step 2: Convert to fraction form
    5,431.73/8,142.73 = 2,831.63/x
  3. Step 3: Cross multiply
    5,431.73x = 8,142.73 × 2,831.63
  4. Step 4: Simplify right side
    5,431.73x = 23,057,150.76
  5. Step 5: Solve for x
    x = 23,057,150.76/5,431.73
  6. Step 6: Final answer
    x = 4,244.90

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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.