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Finding the Fourth Proportional to 12,168.48, 16,800.72 and 7,983.84

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Solution

The fourth proportional to 12,168.48, 16,800.72 and 7,983.84 is: 11,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.48 : 16,800.72 = 7,983.84 : x
  2. Step 2: Convert to fraction form
    12,168.48/16,800.72 = 7,983.84/x
  3. Step 3: Cross multiply
    12,168.48x = 16,800.72 × 7,983.84
  4. Step 4: Simplify right side
    12,168.48x = 134,134,260.36
  5. Step 5: Solve for x
    x = 134,134,260.36/12,168.48
  6. Step 6: Final answer
    x = 11,023.09

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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.