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Finding the Fourth Proportional to 12,347.82, 17,040 and 6,758.82

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Solution

The fourth proportional to 12,347.82, 17,040 and 6,758.82 is: 9,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.82 : 17,040 = 6,758.82 : x
  2. Step 2: Convert to fraction form
    12,347.82/17,040 = 6,758.82/x
  3. Step 3: Cross multiply
    12,347.82x = 17,040 × 6,758.82
  4. Step 4: Simplify right side
    12,347.82x = 115,170,292.80
  5. Step 5: Solve for x
    x = 115,170,292.80/12,347.82
  6. Step 6: Final answer
    x = 9,327.18

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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.