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Finding the Fourth Proportional to 2,387.83, 3,582.75 and 928

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Solution

The fourth proportional to 2,387.83, 3,582.75 and 928 is: 1,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.83 : 3,582.75 = 928 : x
  2. Step 2: Convert to fraction form
    2,387.83/3,582.75 = 928/x
  3. Step 3: Cross multiply
    2,387.83x = 3,582.75 × 928
  4. Step 4: Simplify right side
    2,387.83x = 3,324,792
  5. Step 5: Solve for x
    x = 3,324,792/2,387.83
  6. Step 6: Final answer
    x = 1,392.39

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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.