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Finding the Fourth Proportional to 2,652.84, 3,976.83 and 920.25

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Solution

The fourth proportional to 2,652.84, 3,976.83 and 920.25 is: 1,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.84 : 3,976.83 = 920.25 : x
  2. Step 2: Convert to fraction form
    2,652.84/3,976.83 = 920.25/x
  3. Step 3: Cross multiply
    2,652.84x = 3,976.83 × 920.25
  4. Step 4: Simplify right side
    2,652.84x = 3,659,677.81
  5. Step 5: Solve for x
    x = 3,659,677.81/2,652.84
  6. Step 6: Final answer
    x = 1,379.53

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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.