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Finding the Fourth Proportional to 12,164.99, 16,790.09 and 7,686.50

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Solution

The fourth proportional to 12,164.99, 16,790.09 and 7,686.50 is: 10,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.99 : 16,790.09 = 7,686.50 : x
  2. Step 2: Convert to fraction form
    12,164.99/16,790.09 = 7,686.50/x
  3. Step 3: Cross multiply
    12,164.99x = 16,790.09 × 7,686.50
  4. Step 4: Simplify right side
    12,164.99x = 129,056,904.40
  5. Step 5: Solve for x
    x = 129,056,904.40/12,164.99
  6. Step 6: Final answer
    x = 10,608.88

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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.