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Finding the Fourth Proportional to 13,210.97, 18,226.59 and 7,832.30

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Solution

The fourth proportional to 13,210.97, 18,226.59 and 7,832.30 is: 10,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.97 : 18,226.59 = 7,832.30 : x
  2. Step 2: Convert to fraction form
    13,210.97/18,226.59 = 7,832.30/x
  3. Step 3: Cross multiply
    13,210.97x = 18,226.59 × 7,832.30
  4. Step 4: Simplify right side
    13,210.97x = 142,756,000.35
  5. Step 5: Solve for x
    x = 142,756,000.35/13,210.97
  6. Step 6: Final answer
    x = 10,805.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.