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Finding the Fourth Proportional to 13,184.00, 18,193.46 and 7,520.58

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Solution

The fourth proportional to 13,184.00, 18,193.46 and 7,520.58 is: 10,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.00 : 18,193.46 = 7,520.58 : x
  2. Step 2: Convert to fraction form
    13,184.00/18,193.46 = 7,520.58/x
  3. Step 3: Cross multiply
    13,184.00x = 18,193.46 × 7,520.58
  4. Step 4: Simplify right side
    13,184.00x = 136,825,337.73
  5. Step 5: Solve for x
    x = 136,825,337.73/13,184.00
  6. Step 6: Final answer
    x = 10,378.14

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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.