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Finding the Fourth Proportional to 18,842, 28,208.02 and 14,119.09

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Solution

The fourth proportional to 18,842, 28,208.02 and 14,119.09 is: 21,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842 : 28,208.02 = 14,119.09 : x
  2. Step 2: Convert to fraction form
    18,842/28,208.02 = 14,119.09/x
  3. Step 3: Cross multiply
    18,842x = 28,208.02 × 14,119.09
  4. Step 4: Simplify right side
    18,842x = 398,271,573.10
  5. Step 5: Solve for x
    x = 398,271,573.10/18,842
  6. Step 6: Final answer
    x = 21,137.44

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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.