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Finding the Fourth Proportional to 4,478.13, 6,713.69 and 2,831.22

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Solution

The fourth proportional to 4,478.13, 6,713.69 and 2,831.22 is: 4,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.13 : 6,713.69 = 2,831.22 : x
  2. Step 2: Convert to fraction form
    4,478.13/6,713.69 = 2,831.22/x
  3. Step 3: Cross multiply
    4,478.13x = 6,713.69 × 2,831.22
  4. Step 4: Simplify right side
    4,478.13x = 19,007,919.25
  5. Step 5: Solve for x
    x = 19,007,919.25/4,478.13
  6. Step 6: Final answer
    x = 4,244.61

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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.