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Finding the Fourth Proportional to 11,946.03, 16,486.09 and 6,640.94

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Solution

The fourth proportional to 11,946.03, 16,486.09 and 6,640.94 is: 9,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.03 : 16,486.09 = 6,640.94 : x
  2. Step 2: Convert to fraction form
    11,946.03/16,486.09 = 6,640.94/x
  3. Step 3: Cross multiply
    11,946.03x = 16,486.09 × 6,640.94
  4. Step 4: Simplify right side
    11,946.03x = 109,483,134.52
  5. Step 5: Solve for x
    x = 109,483,134.52/11,946.03
  6. Step 6: Final answer
    x = 9,164.81

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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.