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Finding the Fourth Proportional to 12,213.50, 18,320.43 and 4,005.50

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Solution

The fourth proportional to 12,213.50, 18,320.43 and 4,005.50 is: 6,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.50 : 18,320.43 = 4,005.50 : x
  2. Step 2: Convert to fraction form
    12,213.50/18,320.43 = 4,005.50/x
  3. Step 3: Cross multiply
    12,213.50x = 18,320.43 × 4,005.50
  4. Step 4: Simplify right side
    12,213.50x = 73,382,482.37
  5. Step 5: Solve for x
    x = 73,382,482.37/12,213.50
  6. Step 6: Final answer
    x = 6,008.31

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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.