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Finding the Fourth Proportional to 2,388.47, 3,581.15 and 927.77

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Solution

The fourth proportional to 2,388.47, 3,581.15 and 927.77 is: 1,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.47 : 3,581.15 = 927.77 : x
  2. Step 2: Convert to fraction form
    2,388.47/3,581.15 = 927.77/x
  3. Step 3: Cross multiply
    2,388.47x = 3,581.15 × 927.77
  4. Step 4: Simplify right side
    2,388.47x = 3,322,460.99
  5. Step 5: Solve for x
    x = 3,322,460.99/2,388.47
  6. Step 6: Final answer
    x = 1,391.04

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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.