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Finding the Fourth Proportional to 12,066.12, 16,650.12 and 6,760.20

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Solution

The fourth proportional to 12,066.12, 16,650.12 and 6,760.20 is: 9,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.12 : 16,650.12 = 6,760.20 : x
  2. Step 2: Convert to fraction form
    12,066.12/16,650.12 = 6,760.20/x
  3. Step 3: Cross multiply
    12,066.12x = 16,650.12 × 6,760.20
  4. Step 4: Simplify right side
    12,066.12x = 112,558,141.22
  5. Step 5: Solve for x
    x = 112,558,141.22/12,066.12
  6. Step 6: Final answer
    x = 9,328.45

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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.