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Finding the Fourth Proportional to 1,423.35, 2,136.11 and 960.03

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Solution

The fourth proportional to 1,423.35, 2,136.11 and 960.03 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.35 : 2,136.11 = 960.03 : x
  2. Step 2: Convert to fraction form
    1,423.35/2,136.11 = 960.03/x
  3. Step 3: Cross multiply
    1,423.35x = 2,136.11 × 960.03
  4. Step 4: Simplify right side
    1,423.35x = 2,050,724.88
  5. Step 5: Solve for x
    x = 2,050,724.88/1,423.35
  6. Step 6: Final answer
    x = 1,440.77

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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.