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Finding the Fourth Proportional to 13,176, 19,771.76 and 4,861.82

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Solution

The fourth proportional to 13,176, 19,771.76 and 4,861.82 is: 7,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 19,771.76 = 4,861.82 : x
  2. Step 2: Convert to fraction form
    13,176/19,771.76 = 4,861.82/x
  3. Step 3: Cross multiply
    13,176x = 19,771.76 × 4,861.82
  4. Step 4: Simplify right side
    13,176x = 96,126,738.20
  5. Step 5: Solve for x
    x = 96,126,738.20/13,176
  6. Step 6: Final answer
    x = 7,295.59

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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.