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Finding the Fourth Proportional to 13,184.16, 18,191.33 and 7,808.29

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Solution

The fourth proportional to 13,184.16, 18,191.33 and 7,808.29 is: 10,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.16 : 18,191.33 = 7,808.29 : x
  2. Step 2: Convert to fraction form
    13,184.16/18,191.33 = 7,808.29/x
  3. Step 3: Cross multiply
    13,184.16x = 18,191.33 × 7,808.29
  4. Step 4: Simplify right side
    13,184.16x = 142,043,050.13
  5. Step 5: Solve for x
    x = 142,043,050.13/13,184.16
  6. Step 6: Final answer
    x = 10,773.76

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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.