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Finding the Fourth Proportional to 13,198.98, 18,214.89 and 7,230.90

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Solution

The fourth proportional to 13,198.98, 18,214.89 and 7,230.90 is: 9,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.98 : 18,214.89 = 7,230.90 : x
  2. Step 2: Convert to fraction form
    13,198.98/18,214.89 = 7,230.90/x
  3. Step 3: Cross multiply
    13,198.98x = 18,214.89 × 7,230.90
  4. Step 4: Simplify right side
    13,198.98x = 131,710,048.10
  5. Step 5: Solve for x
    x = 131,710,048.10/13,198.98
  6. Step 6: Final answer
    x = 9,978.81

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1.5x scale

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.