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Finding the Fourth Proportional to 12,656.88, 17,467.11 and 6,991.65

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Solution

The fourth proportional to 12,656.88, 17,467.11 and 6,991.65 is: 9,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.88 : 17,467.11 = 6,991.65 : x
  2. Step 2: Convert to fraction form
    12,656.88/17,467.11 = 6,991.65/x
  3. Step 3: Cross multiply
    12,656.88x = 17,467.11 × 6,991.65
  4. Step 4: Simplify right side
    12,656.88x = 122,123,919.63
  5. Step 5: Solve for x
    x = 122,123,919.63/12,656.88
  6. Step 6: Final answer
    x = 9,648.82

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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.