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Finding the Fourth Proportional to 3,555.92, 5,334.21 and 923.42

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Solution

The fourth proportional to 3,555.92, 5,334.21 and 923.42 is: 1,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555.92 : 5,334.21 = 923.42 : x
  2. Step 2: Convert to fraction form
    3,555.92/5,334.21 = 923.42/x
  3. Step 3: Cross multiply
    3,555.92x = 5,334.21 × 923.42
  4. Step 4: Simplify right side
    3,555.92x = 4,925,729.53
  5. Step 5: Solve for x
    x = 4,925,729.53/3,555.92
  6. Step 6: Final answer
    x = 1,385.22

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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.