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Finding the Fourth Proportional to 2,362.98, 3,256.83 and 1,772.49

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Solution

The fourth proportional to 2,362.98, 3,256.83 and 1,772.49 is: 2,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.98 : 3,256.83 = 1,772.49 : x
  2. Step 2: Convert to fraction form
    2,362.98/3,256.83 = 1,772.49/x
  3. Step 3: Cross multiply
    2,362.98x = 3,256.83 × 1,772.49
  4. Step 4: Simplify right side
    2,362.98x = 5,772,698.61
  5. Step 5: Solve for x
    x = 5,772,698.61/2,362.98
  6. Step 6: Final answer
    x = 2,442.97

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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.