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Finding the Fourth Proportional to 12,676.95, 17,488.36 and 8,202.14

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Solution

The fourth proportional to 12,676.95, 17,488.36 and 8,202.14 is: 11,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.95 : 17,488.36 = 8,202.14 : x
  2. Step 2: Convert to fraction form
    12,676.95/17,488.36 = 8,202.14/x
  3. Step 3: Cross multiply
    12,676.95x = 17,488.36 × 8,202.14
  4. Step 4: Simplify right side
    12,676.95x = 143,441,977.09
  5. Step 5: Solve for x
    x = 143,441,977.09/12,676.95
  6. Step 6: Final answer
    x = 11,315.18

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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.