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Finding the Fourth Proportional to 14,640.20, 20,203.70 and 8,267.16

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Solution

The fourth proportional to 14,640.20, 20,203.70 and 8,267.16 is: 11,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.20 : 20,203.70 = 8,267.16 : x
  2. Step 2: Convert to fraction form
    14,640.20/20,203.70 = 8,267.16/x
  3. Step 3: Cross multiply
    14,640.20x = 20,203.70 × 8,267.16
  4. Step 4: Simplify right side
    14,640.20x = 167,027,220.49
  5. Step 5: Solve for x
    x = 167,027,220.49/14,640.20
  6. Step 6: Final answer
    x = 11,408.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.