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Finding the Fourth Proportional to 14,520.76, 21,771.78 and 6,206.20

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Solution

The fourth proportional to 14,520.76, 21,771.78 and 6,206.20 is: 9,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.76 : 21,771.78 = 6,206.20 : x
  2. Step 2: Convert to fraction form
    14,520.76/21,771.78 = 6,206.20/x
  3. Step 3: Cross multiply
    14,520.76x = 21,771.78 × 6,206.20
  4. Step 4: Simplify right side
    14,520.76x = 135,120,021.04
  5. Step 5: Solve for x
    x = 135,120,021.04/14,520.76
  6. Step 6: Final answer
    x = 9,305.30

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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.