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Finding the Fourth Proportional to 2,158.82, 3,237.75 and 772.25

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Solution

The fourth proportional to 2,158.82, 3,237.75 and 772.25 is: 1,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.82 : 3,237.75 = 772.25 : x
  2. Step 2: Convert to fraction form
    2,158.82/3,237.75 = 772.25/x
  3. Step 3: Cross multiply
    2,158.82x = 3,237.75 × 772.25
  4. Step 4: Simplify right side
    2,158.82x = 2,500,352.44
  5. Step 5: Solve for x
    x = 2,500,352.44/2,158.82
  6. Step 6: Final answer
    x = 1,158.21

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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.