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Finding the Fourth Proportional to 13,755.84, 20,631.12 and 3,892.74

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Solution

The fourth proportional to 13,755.84, 20,631.12 and 3,892.74 is: 5,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.84 : 20,631.12 = 3,892.74 : x
  2. Step 2: Convert to fraction form
    13,755.84/20,631.12 = 3,892.74/x
  3. Step 3: Cross multiply
    13,755.84x = 20,631.12 × 3,892.74
  4. Step 4: Simplify right side
    13,755.84x = 80,311,586.07
  5. Step 5: Solve for x
    x = 80,311,586.07/13,755.84
  6. Step 6: Final answer
    x = 5,838.36

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1.5x scale

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.