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Finding the Fourth Proportional to 5,243.46, 7,866.05 and 2,123.67

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Solution

The fourth proportional to 5,243.46, 7,866.05 and 2,123.67 is: 3,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.46 : 7,866.05 = 2,123.67 : x
  2. Step 2: Convert to fraction form
    5,243.46/7,866.05 = 2,123.67/x
  3. Step 3: Cross multiply
    5,243.46x = 7,866.05 × 2,123.67
  4. Step 4: Simplify right side
    5,243.46x = 16,704,894.40
  5. Step 5: Solve for x
    x = 16,704,894.40/5,243.46
  6. Step 6: Final answer
    x = 3,185.85

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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.