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Finding the Fourth Proportional to 3,478.08, 5,213.20 and 1,831.08

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Solution

The fourth proportional to 3,478.08, 5,213.20 and 1,831.08 is: 2,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.08 : 5,213.20 = 1,831.08 : x
  2. Step 2: Convert to fraction form
    3,478.08/5,213.20 = 1,831.08/x
  3. Step 3: Cross multiply
    3,478.08x = 5,213.20 × 1,831.08
  4. Step 4: Simplify right side
    3,478.08x = 9,545,786.26
  5. Step 5: Solve for x
    x = 9,545,786.26/3,478.08
  6. Step 6: Final answer
    x = 2,744.56

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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.