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Finding the Fourth Proportional to 2,656.44, 3,981.36 and 923.04

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Solution

The fourth proportional to 2,656.44, 3,981.36 and 923.04 is: 1,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.44 : 3,981.36 = 923.04 : x
  2. Step 2: Convert to fraction form
    2,656.44/3,981.36 = 923.04/x
  3. Step 3: Cross multiply
    2,656.44x = 3,981.36 × 923.04
  4. Step 4: Simplify right side
    2,656.44x = 3,674,954.53
  5. Step 5: Solve for x
    x = 3,674,954.53/2,656.44
  6. Step 6: Final answer
    x = 1,383.41

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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.