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Finding the Fourth Proportional to 12,299, 16,972.68 and 6,710

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Solution

The fourth proportional to 12,299, 16,972.68 and 6,710 is: 9,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299 : 16,972.68 = 6,710 : x
  2. Step 2: Convert to fraction form
    12,299/16,972.68 = 6,710/x
  3. Step 3: Cross multiply
    12,299x = 16,972.68 × 6,710
  4. Step 4: Simplify right side
    12,299x = 113,886,682.80
  5. Step 5: Solve for x
    x = 113,886,682.80/12,299
  6. Step 6: Final answer
    x = 9,259.83

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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.