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Finding the Fourth Proportional to 14,645.70, 20,209.78 and 8,676.36

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Solution

The fourth proportional to 14,645.70, 20,209.78 and 8,676.36 is: 11,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.70 : 20,209.78 = 8,676.36 : x
  2. Step 2: Convert to fraction form
    14,645.70/20,209.78 = 8,676.36/x
  3. Step 3: Cross multiply
    14,645.70x = 20,209.78 × 8,676.36
  4. Step 4: Simplify right side
    14,645.70x = 175,347,182.37
  5. Step 5: Solve for x
    x = 175,347,182.37/14,645.70
  6. Step 6: Final answer
    x = 11,972.61

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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.