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Finding the Fourth Proportional to 5,223, 7,835.64 and 2,145

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Solution

The fourth proportional to 5,223, 7,835.64 and 2,145 is: 3,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223 : 7,835.64 = 2,145 : x
  2. Step 2: Convert to fraction form
    5,223/7,835.64 = 2,145/x
  3. Step 3: Cross multiply
    5,223x = 7,835.64 × 2,145
  4. Step 4: Simplify right side
    5,223x = 16,807,447.80
  5. Step 5: Solve for x
    x = 16,807,447.80/5,223
  6. Step 6: Final answer
    x = 3,217.97

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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.