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Finding the Fourth Proportional to 13,838.66, 20,755.76 and 3,975.70

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Solution

The fourth proportional to 13,838.66, 20,755.76 and 3,975.70 is: 5,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.66 : 20,755.76 = 3,975.70 : x
  2. Step 2: Convert to fraction form
    13,838.66/20,755.76 = 3,975.70/x
  3. Step 3: Cross multiply
    13,838.66x = 20,755.76 × 3,975.70
  4. Step 4: Simplify right side
    13,838.66x = 82,518,675.03
  5. Step 5: Solve for x
    x = 82,518,675.03/13,838.66
  6. Step 6: Final answer
    x = 5,962.91

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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.