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Finding the Fourth Proportional to 9,367.70, 13,983.21 and 8,185.38

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Solution

The fourth proportional to 9,367.70, 13,983.21 and 8,185.38 is: 12,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.70 : 13,983.21 = 8,185.38 : x
  2. Step 2: Convert to fraction form
    9,367.70/13,983.21 = 8,185.38/x
  3. Step 3: Cross multiply
    9,367.70x = 13,983.21 × 8,185.38
  4. Step 4: Simplify right side
    9,367.70x = 114,457,887.47
  5. Step 5: Solve for x
    x = 114,457,887.47/9,367.70
  6. Step 6: Final answer
    x = 12,218.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.