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Finding the Fourth Proportional to 12,687.42, 17,508.86 and 7,022.63

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Solution

The fourth proportional to 12,687.42, 17,508.86 and 7,022.63 is: 9,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.42 : 17,508.86 = 7,022.63 : x
  2. Step 2: Convert to fraction form
    12,687.42/17,508.86 = 7,022.63/x
  3. Step 3: Cross multiply
    12,687.42x = 17,508.86 × 7,022.63
  4. Step 4: Simplify right side
    12,687.42x = 122,958,122.84
  5. Step 5: Solve for x
    x = 122,958,122.84/12,687.42
  6. Step 6: Final answer
    x = 9,691.34

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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.