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Finding the Fourth Proportional to 12,339, 17,028.23 and 6,750

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Solution

The fourth proportional to 12,339, 17,028.23 and 6,750 is: 9,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339 : 17,028.23 = 6,750 : x
  2. Step 2: Convert to fraction form
    12,339/17,028.23 = 6,750/x
  3. Step 3: Cross multiply
    12,339x = 17,028.23 × 6,750
  4. Step 4: Simplify right side
    12,339x = 114,940,518.75
  5. Step 5: Solve for x
    x = 114,940,518.75/12,339
  6. Step 6: Final answer
    x = 9,315.22

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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.