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Finding the Fourth Proportional to 14,917.49, 20,586.67 and 8,203.64

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Solution

The fourth proportional to 14,917.49, 20,586.67 and 8,203.64 is: 11,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.49 : 20,586.67 = 8,203.64 : x
  2. Step 2: Convert to fraction form
    14,917.49/20,586.67 = 8,203.64/x
  3. Step 3: Cross multiply
    14,917.49x = 20,586.67 × 8,203.64
  4. Step 4: Simplify right side
    14,917.49x = 168,885,506.04
  5. Step 5: Solve for x
    x = 168,885,506.04/14,917.49
  6. Step 6: Final answer
    x = 11,321.31

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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.