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Finding the Fourth Proportional to 2,388, 3,582.51 and 927.15

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Solution

The fourth proportional to 2,388, 3,582.51 and 927.15 is: 1,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388 : 3,582.51 = 927.15 : x
  2. Step 2: Convert to fraction form
    2,388/3,582.51 = 927.15/x
  3. Step 3: Cross multiply
    2,388x = 3,582.51 × 927.15
  4. Step 4: Simplify right side
    2,388x = 3,321,524.15
  5. Step 5: Solve for x
    x = 3,321,524.15/2,388
  6. Step 6: Final answer
    x = 1,390.92

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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.