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Finding the Fourth Proportional to 11,009.72, 16,513.96 and 8,051.20

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Solution

The fourth proportional to 11,009.72, 16,513.96 and 8,051.20 is: 12,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.72 : 16,513.96 = 8,051.20 : x
  2. Step 2: Convert to fraction form
    11,009.72/16,513.96 = 8,051.20/x
  3. Step 3: Cross multiply
    11,009.72x = 16,513.96 × 8,051.20
  4. Step 4: Simplify right side
    11,009.72x = 132,957,194.75
  5. Step 5: Solve for x
    x = 132,957,194.75/11,009.72
  6. Step 6: Final answer
    x = 12,076.35

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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.