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Finding the Fourth Proportional to 45,007.92, 67,520.88 and 13,842

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Solution

The fourth proportional to 45,007.92, 67,520.88 and 13,842 is: 20,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,007.92 : 67,520.88 = 13,842 : x
  2. Step 2: Convert to fraction form
    45,007.92/67,520.88 = 13,842/x
  3. Step 3: Cross multiply
    45,007.92x = 67,520.88 × 13,842
  4. Step 4: Simplify right side
    45,007.92x = 934,624,020.96
  5. Step 5: Solve for x
    x = 934,624,020.96/45,007.92
  6. Step 6: Final answer
    x = 20,765.77

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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.