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Finding the Fourth Proportional to 2,640.93, 3,965.40 and 2,097.53

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Solution

The fourth proportional to 2,640.93, 3,965.40 and 2,097.53 is: 3,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.93 : 3,965.40 = 2,097.53 : x
  2. Step 2: Convert to fraction form
    2,640.93/3,965.40 = 2,097.53/x
  3. Step 3: Cross multiply
    2,640.93x = 3,965.40 × 2,097.53
  4. Step 4: Simplify right side
    2,640.93x = 8,317,525.64
  5. Step 5: Solve for x
    x = 8,317,525.64/2,640.93
  6. Step 6: Final answer
    x = 3,149.47

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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.