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Finding the Fourth Proportional to 11,005.66, 16,512.54 and 3,986.20

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Solution

The fourth proportional to 11,005.66, 16,512.54 and 3,986.20 is: 5,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.66 : 16,512.54 = 3,986.20 : x
  2. Step 2: Convert to fraction form
    11,005.66/16,512.54 = 3,986.20/x
  3. Step 3: Cross multiply
    11,005.66x = 16,512.54 × 3,986.20
  4. Step 4: Simplify right side
    11,005.66x = 65,822,286.95
  5. Step 5: Solve for x
    x = 65,822,286.95/11,005.66
  6. Step 6: Final answer
    x = 5,980.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.