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Finding the Fourth Proportional to 3,099, 4,276.65 and 1,701.78

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Solution

The fourth proportional to 3,099, 4,276.65 and 1,701.78 is: 2,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099 : 4,276.65 = 1,701.78 : x
  2. Step 2: Convert to fraction form
    3,099/4,276.65 = 1,701.78/x
  3. Step 3: Cross multiply
    3,099x = 4,276.65 × 1,701.78
  4. Step 4: Simplify right side
    3,099x = 7,277,917.44
  5. Step 5: Solve for x
    x = 7,277,917.44/3,099
  6. Step 6: Final answer
    x = 2,348.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.