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Finding the Fourth Proportional to 11,305.70, 16,960.98 and 3,810

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Solution

The fourth proportional to 11,305.70, 16,960.98 and 3,810 is: 5,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.70 : 16,960.98 = 3,810 : x
  2. Step 2: Convert to fraction form
    11,305.70/16,960.98 = 3,810/x
  3. Step 3: Cross multiply
    11,305.70x = 16,960.98 × 3,810
  4. Step 4: Simplify right side
    11,305.70x = 64,621,333.80
  5. Step 5: Solve for x
    x = 64,621,333.80/11,305.70
  6. Step 6: Final answer
    x = 5,715.82

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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.