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Finding the Fourth Proportional to 1,824.42, 2,736.90 and 958.80

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Solution

The fourth proportional to 1,824.42, 2,736.90 and 958.80 is: 1,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.42 : 2,736.90 = 958.80 : x
  2. Step 2: Convert to fraction form
    1,824.42/2,736.90 = 958.80/x
  3. Step 3: Cross multiply
    1,824.42x = 2,736.90 × 958.80
  4. Step 4: Simplify right side
    1,824.42x = 2,624,139.72
  5. Step 5: Solve for x
    x = 2,624,139.72/1,824.42
  6. Step 6: Final answer
    x = 1,438.34

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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.