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Finding the Fourth Proportional to 13,842, 20,750.22 and 5,520

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Solution

The fourth proportional to 13,842, 20,750.22 and 5,520 is: 8,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 20,750.22 = 5,520 : x
  2. Step 2: Convert to fraction form
    13,842/20,750.22 = 5,520/x
  3. Step 3: Cross multiply
    13,842x = 20,750.22 × 5,520
  4. Step 4: Simplify right side
    13,842x = 114,541,214.40
  5. Step 5: Solve for x
    x = 114,541,214.40/13,842
  6. Step 6: Final answer
    x = 8,274.90

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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.