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Finding the Fourth Proportional to 3,020.64, 4,529.67 and 940.14

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Solution

The fourth proportional to 3,020.64, 4,529.67 and 940.14 is: 1,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.64 : 4,529.67 = 940.14 : x
  2. Step 2: Convert to fraction form
    3,020.64/4,529.67 = 940.14/x
  3. Step 3: Cross multiply
    3,020.64x = 4,529.67 × 940.14
  4. Step 4: Simplify right side
    3,020.64x = 4,258,523.95
  5. Step 5: Solve for x
    x = 4,258,523.95/3,020.64
  6. Step 6: Final answer
    x = 1,409.81

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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.