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Finding the Fourth Proportional to 12,999.32, 17,939 and 7,031

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Solution

The fourth proportional to 12,999.32, 17,939 and 7,031 is: 9,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.32 : 17,939 = 7,031 : x
  2. Step 2: Convert to fraction form
    12,999.32/17,939 = 7,031/x
  3. Step 3: Cross multiply
    12,999.32x = 17,939 × 7,031
  4. Step 4: Simplify right side
    12,999.32x = 126,129,109
  5. Step 5: Solve for x
    x = 126,129,109/12,999.32
  6. Step 6: Final answer
    x = 9,702.75

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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.