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Finding the Fourth Proportional to 2,546.10, 3,818.64 and 790.63

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Solution

The fourth proportional to 2,546.10, 3,818.64 and 790.63 is: 1,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.10 : 3,818.64 = 790.63 : x
  2. Step 2: Convert to fraction form
    2,546.10/3,818.64 = 790.63/x
  3. Step 3: Cross multiply
    2,546.10x = 3,818.64 × 790.63
  4. Step 4: Simplify right side
    2,546.10x = 3,019,124.76
  5. Step 5: Solve for x
    x = 3,019,124.76/2,546.10
  6. Step 6: Final answer
    x = 1,185.78

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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.