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Finding the Fourth Proportional to 8,376, 11,558.49 and 5,020.67

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Solution

The fourth proportional to 8,376, 11,558.49 and 5,020.67 is: 6,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 11,558.49 = 5,020.67 : x
  2. Step 2: Convert to fraction form
    8,376/11,558.49 = 5,020.67/x
  3. Step 3: Cross multiply
    8,376x = 11,558.49 × 5,020.67
  4. Step 4: Simplify right side
    8,376x = 58,031,363.99
  5. Step 5: Solve for x
    x = 58,031,363.99/8,376
  6. Step 6: Final answer
    x = 6,928.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.