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Finding the Fourth Proportional to 12,167.88, 16,788.50 and 7,197.64

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Solution

The fourth proportional to 12,167.88, 16,788.50 and 7,197.64 is: 9,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.88 : 16,788.50 = 7,197.64 : x
  2. Step 2: Convert to fraction form
    12,167.88/16,788.50 = 7,197.64/x
  3. Step 3: Cross multiply
    12,167.88x = 16,788.50 × 7,197.64
  4. Step 4: Simplify right side
    12,167.88x = 120,837,579.14
  5. Step 5: Solve for x
    x = 120,837,579.14/12,167.88
  6. Step 6: Final answer
    x = 9,930.87

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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.