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Finding the Fourth Proportional to 2,389, 3,582.58 and 927.96

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Solution

The fourth proportional to 2,389, 3,582.58 and 927.96 is: 1,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389 : 3,582.58 = 927.96 : x
  2. Step 2: Convert to fraction form
    2,389/3,582.58 = 927.96/x
  3. Step 3: Cross multiply
    2,389x = 3,582.58 × 927.96
  4. Step 4: Simplify right side
    2,389x = 3,324,490.94
  5. Step 5: Solve for x
    x = 3,324,490.94/2,389
  6. Step 6: Final answer
    x = 1,391.58

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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.