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Finding the Fourth Proportional to 3,100.98, 4,628.77 and 2,731.93

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Solution

The fourth proportional to 3,100.98, 4,628.77 and 2,731.93 is: 4,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.98 : 4,628.77 = 2,731.93 : x
  2. Step 2: Convert to fraction form
    3,100.98/4,628.77 = 2,731.93/x
  3. Step 3: Cross multiply
    3,100.98x = 4,628.77 × 2,731.93
  4. Step 4: Simplify right side
    3,100.98x = 12,645,464.91
  5. Step 5: Solve for x
    x = 12,645,464.91/3,100.98
  6. Step 6: Final answer
    x = 4,077.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.