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Finding the Fourth Proportional to 18,561.12, 27,830.16 and 8,696.16

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Solution

The fourth proportional to 18,561.12, 27,830.16 and 8,696.16 is: 13,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.12 : 27,830.16 = 8,696.16 : x
  2. Step 2: Convert to fraction form
    18,561.12/27,830.16 = 8,696.16/x
  3. Step 3: Cross multiply
    18,561.12x = 27,830.16 × 8,696.16
  4. Step 4: Simplify right side
    18,561.12x = 242,015,524.19
  5. Step 5: Solve for x
    x = 242,015,524.19/18,561.12
  6. Step 6: Final answer
    x = 13,038.84

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Why These Related Problems?

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