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Finding the Fourth Proportional to 2,698.97, 3,720.83 and 2,099.60

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Solution

The fourth proportional to 2,698.97, 3,720.83 and 2,099.60 is: 2,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.97 : 3,720.83 = 2,099.60 : x
  2. Step 2: Convert to fraction form
    2,698.97/3,720.83 = 2,099.60/x
  3. Step 3: Cross multiply
    2,698.97x = 3,720.83 × 2,099.60
  4. Step 4: Simplify right side
    2,698.97x = 7,812,254.67
  5. Step 5: Solve for x
    x = 7,812,254.67/2,698.97
  6. Step 6: Final answer
    x = 2,894.53

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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.