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Finding the Fourth Proportional to 2,735.65, 4,097.40 and 2,117.35

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Solution

The fourth proportional to 2,735.65, 4,097.40 and 2,117.35 is: 3,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.65 : 4,097.40 = 2,117.35 : x
  2. Step 2: Convert to fraction form
    2,735.65/4,097.40 = 2,117.35/x
  3. Step 3: Cross multiply
    2,735.65x = 4,097.40 × 2,117.35
  4. Step 4: Simplify right side
    2,735.65x = 8,675,629.89
  5. Step 5: Solve for x
    x = 8,675,629.89/2,735.65
  6. Step 6: Final answer
    x = 3,171.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.