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Finding the Fourth Proportional to 8,983.09, 12,306.89 and 8,646.39

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Solution

The fourth proportional to 8,983.09, 12,306.89 and 8,646.39 is: 11,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.09 : 12,306.89 = 8,646.39 : x
  2. Step 2: Convert to fraction form
    8,983.09/12,306.89 = 8,646.39/x
  3. Step 3: Cross multiply
    8,983.09x = 12,306.89 × 8,646.39
  4. Step 4: Simplify right side
    8,983.09x = 106,410,127.40
  5. Step 5: Solve for x
    x = 106,410,127.40/8,983.09
  6. Step 6: Final answer
    x = 11,845.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.