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Finding the Fourth Proportional to 2,554.84, 3,831.30 and 823

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Solution

The fourth proportional to 2,554.84, 3,831.30 and 823 is: 1,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.84 : 3,831.30 = 823 : x
  2. Step 2: Convert to fraction form
    2,554.84/3,831.30 = 823/x
  3. Step 3: Cross multiply
    2,554.84x = 3,831.30 × 823
  4. Step 4: Simplify right side
    2,554.84x = 3,153,159.90
  5. Step 5: Solve for x
    x = 3,153,159.90/2,554.84
  6. Step 6: Final answer
    x = 1,234.19

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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.