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Finding the Fourth Proportional to 2,388.94, 3,582.50 and 927.90

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Solution

The fourth proportional to 2,388.94, 3,582.50 and 927.90 is: 1,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.94 : 3,582.50 = 927.90 : x
  2. Step 2: Convert to fraction form
    2,388.94/3,582.50 = 927.90/x
  3. Step 3: Cross multiply
    2,388.94x = 3,582.50 × 927.90
  4. Step 4: Simplify right side
    2,388.94x = 3,324,201.75
  5. Step 5: Solve for x
    x = 3,324,201.75/2,388.94
  6. Step 6: Final answer
    x = 1,391.50

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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.