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Finding the Fourth Proportional to 12,080.57, 18,100.19 and 9,447.06

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Solution

The fourth proportional to 12,080.57, 18,100.19 and 9,447.06 is: 14,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.57 : 18,100.19 = 9,447.06 : x
  2. Step 2: Convert to fraction form
    12,080.57/18,100.19 = 9,447.06/x
  3. Step 3: Cross multiply
    12,080.57x = 18,100.19 × 9,447.06
  4. Step 4: Simplify right side
    12,080.57x = 170,993,533.71
  5. Step 5: Solve for x
    x = 170,993,533.71/12,080.57
  6. Step 6: Final answer
    x = 14,154.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.