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Finding the Fourth Proportional to 2,554.43, 3,831.63 and 823.05

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Solution

The fourth proportional to 2,554.43, 3,831.63 and 823.05 is: 1,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.43 : 3,831.63 = 823.05 : x
  2. Step 2: Convert to fraction form
    2,554.43/3,831.63 = 823.05/x
  3. Step 3: Cross multiply
    2,554.43x = 3,831.63 × 823.05
  4. Step 4: Simplify right side
    2,554.43x = 3,153,623.07
  5. Step 5: Solve for x
    x = 3,153,623.07/2,554.43
  6. Step 6: Final answer
    x = 1,234.57

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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.