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Finding the Fourth Proportional to 18,684.54, 27,902.96 and 16,421

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Solution

The fourth proportional to 18,684.54, 27,902.96 and 16,421 is: 24,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.54 : 27,902.96 = 16,421 : x
  2. Step 2: Convert to fraction form
    18,684.54/27,902.96 = 16,421/x
  3. Step 3: Cross multiply
    18,684.54x = 27,902.96 × 16,421
  4. Step 4: Simplify right side
    18,684.54x = 458,194,506.16
  5. Step 5: Solve for x
    x = 458,194,506.16/18,684.54
  6. Step 6: Final answer
    x = 24,522.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.