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Finding the Fourth Proportional to 12,294, 16,965.72 and 6,705

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Solution

The fourth proportional to 12,294, 16,965.72 and 6,705 is: 9,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 16,965.72 = 6,705 : x
  2. Step 2: Convert to fraction form
    12,294/16,965.72 = 6,705/x
  3. Step 3: Cross multiply
    12,294x = 16,965.72 × 6,705
  4. Step 4: Simplify right side
    12,294x = 113,755,152.60
  5. Step 5: Solve for x
    x = 113,755,152.60/12,294
  6. Step 6: Final answer
    x = 9,252.90

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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.