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Finding the Fourth Proportional to 12,105.64, 16,700.99 and 7,000.22

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Solution

The fourth proportional to 12,105.64, 16,700.99 and 7,000.22 is: 9,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.64 : 16,700.99 = 7,000.22 : x
  2. Step 2: Convert to fraction form
    12,105.64/16,700.99 = 7,000.22/x
  3. Step 3: Cross multiply
    12,105.64x = 16,700.99 × 7,000.22
  4. Step 4: Simplify right side
    12,105.64x = 116,910,610.97
  5. Step 5: Solve for x
    x = 116,910,610.97/12,105.64
  6. Step 6: Final answer
    x = 9,657.54

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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.