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Finding the Fourth Proportional to 18,543.46, 27,802.84 and 11,966.05

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Solution

The fourth proportional to 18,543.46, 27,802.84 and 11,966.05 is: 17,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.46 : 27,802.84 = 11,966.05 : x
  2. Step 2: Convert to fraction form
    18,543.46/27,802.84 = 11,966.05/x
  3. Step 3: Cross multiply
    18,543.46x = 27,802.84 × 11,966.05
  4. Step 4: Simplify right side
    18,543.46x = 332,690,173.58
  5. Step 5: Solve for x
    x = 332,690,173.58/18,543.46
  6. Step 6: Final answer
    x = 17,941.11

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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.