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Finding the Fourth Proportional to 18,084.42, 24,939.84 and 12,409.16

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Solution

The fourth proportional to 18,084.42, 24,939.84 and 12,409.16 is: 17,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084.42 : 24,939.84 = 12,409.16 : x
  2. Step 2: Convert to fraction form
    18,084.42/24,939.84 = 12,409.16/x
  3. Step 3: Cross multiply
    18,084.42x = 24,939.84 × 12,409.16
  4. Step 4: Simplify right side
    18,084.42x = 309,482,340.24
  5. Step 5: Solve for x
    x = 309,482,340.24/18,084.42
  6. Step 6: Final answer
    x = 17,113.20

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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.