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Finding the Fourth Proportional to 2,546.98, 3,820.52 and 815.61

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Solution

The fourth proportional to 2,546.98, 3,820.52 and 815.61 is: 1,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.98 : 3,820.52 = 815.61 : x
  2. Step 2: Convert to fraction form
    2,546.98/3,820.52 = 815.61/x
  3. Step 3: Cross multiply
    2,546.98x = 3,820.52 × 815.61
  4. Step 4: Simplify right side
    2,546.98x = 3,116,054.32
  5. Step 5: Solve for x
    x = 3,116,054.32/2,546.98
  6. Step 6: Final answer
    x = 1,223.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.