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Finding the Fourth Proportional to 12,676.70, 17,488.02 and 8,201.89

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Solution

The fourth proportional to 12,676.70, 17,488.02 and 8,201.89 is: 11,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.70 : 17,488.02 = 8,201.89 : x
  2. Step 2: Convert to fraction form
    12,676.70/17,488.02 = 8,201.89/x
  3. Step 3: Cross multiply
    12,676.70x = 17,488.02 × 8,201.89
  4. Step 4: Simplify right side
    12,676.70x = 143,434,816.36
  5. Step 5: Solve for x
    x = 143,434,816.36/12,676.70
  6. Step 6: Final answer
    x = 11,314.84

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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.