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Finding the Fourth Proportional to 2,325.78, 3,207.78 and 1,696.20

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Solution

The fourth proportional to 2,325.78, 3,207.78 and 1,696.20 is: 2,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.78 : 3,207.78 = 1,696.20 : x
  2. Step 2: Convert to fraction form
    2,325.78/3,207.78 = 1,696.20/x
  3. Step 3: Cross multiply
    2,325.78x = 3,207.78 × 1,696.20
  4. Step 4: Simplify right side
    2,325.78x = 5,441,036.44
  5. Step 5: Solve for x
    x = 5,441,036.44/2,325.78
  6. Step 6: Final answer
    x = 2,339.45

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