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Finding the Fourth Proportional to 12,394.98, 17,108.40 and 7,676.64

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Solution

The fourth proportional to 12,394.98, 17,108.40 and 7,676.64 is: 10,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.98 : 17,108.40 = 7,676.64 : x
  2. Step 2: Convert to fraction form
    12,394.98/17,108.40 = 7,676.64/x
  3. Step 3: Cross multiply
    12,394.98x = 17,108.40 × 7,676.64
  4. Step 4: Simplify right side
    12,394.98x = 131,335,027.78
  5. Step 5: Solve for x
    x = 131,335,027.78/12,394.98
  6. Step 6: Final answer
    x = 10,595.82

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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.