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Finding the Fourth Proportional to 12,897, 17,797.86 and 7,009

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Solution

The fourth proportional to 12,897, 17,797.86 and 7,009 is: 9,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 17,797.86 = 7,009 : x
  2. Step 2: Convert to fraction form
    12,897/17,797.86 = 7,009/x
  3. Step 3: Cross multiply
    12,897x = 17,797.86 × 7,009
  4. Step 4: Simplify right side
    12,897x = 124,745,200.74
  5. Step 5: Solve for x
    x = 124,745,200.74/12,897
  6. Step 6: Final answer
    x = 9,672.42

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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.