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Finding the Fourth Proportional to 13,198.65, 18,214.11 and 7,230.51

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Solution

The fourth proportional to 13,198.65, 18,214.11 and 7,230.51 is: 9,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.65 : 18,214.11 = 7,230.51 : x
  2. Step 2: Convert to fraction form
    13,198.65/18,214.11 = 7,230.51/x
  3. Step 3: Cross multiply
    13,198.65x = 18,214.11 × 7,230.51
  4. Step 4: Simplify right side
    13,198.65x = 131,697,304.50
  5. Step 5: Solve for x
    x = 131,697,304.50/13,198.65
  6. Step 6: Final answer
    x = 9,978.09

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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.