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Finding the Fourth Proportional to 12,977, 17,908.26 and 7,089

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Solution

The fourth proportional to 12,977, 17,908.26 and 7,089 is: 9,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977 : 17,908.26 = 7,089 : x
  2. Step 2: Convert to fraction form
    12,977/17,908.26 = 7,089/x
  3. Step 3: Cross multiply
    12,977x = 17,908.26 × 7,089
  4. Step 4: Simplify right side
    12,977x = 126,951,655.14
  5. Step 5: Solve for x
    x = 126,951,655.14/12,977
  6. Step 6: Final answer
    x = 9,782.82

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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.