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Finding the Fourth Proportional to 3,831.64, 5,288.24 and 2,340.42

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Solution

The fourth proportional to 3,831.64, 5,288.24 and 2,340.42 is: 3,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.64 : 5,288.24 = 2,340.42 : x
  2. Step 2: Convert to fraction form
    3,831.64/5,288.24 = 2,340.42/x
  3. Step 3: Cross multiply
    3,831.64x = 5,288.24 × 2,340.42
  4. Step 4: Simplify right side
    3,831.64x = 12,376,664.52
  5. Step 5: Solve for x
    x = 12,376,664.52/3,831.64
  6. Step 6: Final answer
    x = 3,230.12

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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.