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Finding the Fourth Proportional to 13,872.88, 20,809.14 and 3,484.63

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Solution

The fourth proportional to 13,872.88, 20,809.14 and 3,484.63 is: 5,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.88 : 20,809.14 = 3,484.63 : x
  2. Step 2: Convert to fraction form
    13,872.88/20,809.14 = 3,484.63/x
  3. Step 3: Cross multiply
    13,872.88x = 20,809.14 × 3,484.63
  4. Step 4: Simplify right side
    13,872.88x = 72,512,153.52
  5. Step 5: Solve for x
    x = 72,512,153.52/13,872.88
  6. Step 6: Final answer
    x = 5,226.90

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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.