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Finding the Fourth Proportional to 13,853.84, 20,786.90 and 7,278.53

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Solution

The fourth proportional to 13,853.84, 20,786.90 and 7,278.53 is: 10,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.84 : 20,786.90 = 7,278.53 : x
  2. Step 2: Convert to fraction form
    13,853.84/20,786.90 = 7,278.53/x
  3. Step 3: Cross multiply
    13,853.84x = 20,786.90 × 7,278.53
  4. Step 4: Simplify right side
    13,853.84x = 151,297,934.93
  5. Step 5: Solve for x
    x = 151,297,934.93/13,853.84
  6. Step 6: Final answer
    x = 10,921.01

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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.