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Finding the Fourth Proportional to 12,759, 17,607.51 and 7,170

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Solution

The fourth proportional to 12,759, 17,607.51 and 7,170 is: 9,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759 : 17,607.51 = 7,170 : x
  2. Step 2: Convert to fraction form
    12,759/17,607.51 = 7,170/x
  3. Step 3: Cross multiply
    12,759x = 17,607.51 × 7,170
  4. Step 4: Simplify right side
    12,759x = 126,245,846.70
  5. Step 5: Solve for x
    x = 126,245,846.70/12,759
  6. Step 6: Final answer
    x = 9,894.65

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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.