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Finding the Fourth Proportional to 12,142.13, 16,757.00 and 6,765

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Solution

The fourth proportional to 12,142.13, 16,757.00 and 6,765 is: 9,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.13 : 16,757.00 = 6,765 : x
  2. Step 2: Convert to fraction form
    12,142.13/16,757.00 = 6,765/x
  3. Step 3: Cross multiply
    12,142.13x = 16,757.00 × 6,765
  4. Step 4: Simplify right side
    12,142.13x = 113,361,071.18
  5. Step 5: Solve for x
    x = 113,361,071.18/12,142.13
  6. Step 6: Final answer
    x = 9,336.18

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1.5x scale

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.