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Finding the Fourth Proportional to 3,831.68, 5,749.12 and 3,345.60

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Solution

The fourth proportional to 3,831.68, 5,749.12 and 3,345.60 is: 5,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.68 : 5,749.12 = 3,345.60 : x
  2. Step 2: Convert to fraction form
    3,831.68/5,749.12 = 3,345.60/x
  3. Step 3: Cross multiply
    3,831.68x = 5,749.12 × 3,345.60
  4. Step 4: Simplify right side
    3,831.68x = 19,234,255.87
  5. Step 5: Solve for x
    x = 19,234,255.87/3,831.68
  6. Step 6: Final answer
    x = 5,019.80

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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.