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Finding the Fourth Proportional to 13,754.61, 20,632.79 and 3,894.62

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Solution

The fourth proportional to 13,754.61, 20,632.79 and 3,894.62 is: 5,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.61 : 20,632.79 = 3,894.62 : x
  2. Step 2: Convert to fraction form
    13,754.61/20,632.79 = 3,894.62/x
  3. Step 3: Cross multiply
    13,754.61x = 20,632.79 × 3,894.62
  4. Step 4: Simplify right side
    13,754.61x = 80,356,783.16
  5. Step 5: Solve for x
    x = 80,356,783.16/13,754.61
  6. Step 6: Final answer
    x = 5,842.17

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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.