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Finding the Fourth Proportional to 12,305.40, 16,982.22 and 7,000.68

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Solution

The fourth proportional to 12,305.40, 16,982.22 and 7,000.68 is: 9,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.40 : 16,982.22 = 7,000.68 : x
  2. Step 2: Convert to fraction form
    12,305.40/16,982.22 = 7,000.68/x
  3. Step 3: Cross multiply
    12,305.40x = 16,982.22 × 7,000.68
  4. Step 4: Simplify right side
    12,305.40x = 118,887,087.91
  5. Step 5: Solve for x
    x = 118,887,087.91/12,305.40
  6. Step 6: Final answer
    x = 9,661.38

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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.