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Finding the Fourth Proportional to 12,278.88, 16,956.48 and 8,089.44

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Solution

The fourth proportional to 12,278.88, 16,956.48 and 8,089.44 is: 11,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.88 : 16,956.48 = 8,089.44 : x
  2. Step 2: Convert to fraction form
    12,278.88/16,956.48 = 8,089.44/x
  3. Step 3: Cross multiply
    12,278.88x = 16,956.48 × 8,089.44
  4. Step 4: Simplify right side
    12,278.88x = 137,168,427.57
  5. Step 5: Solve for x
    x = 137,168,427.57/12,278.88
  6. Step 6: Final answer
    x = 11,171.09

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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.