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Finding the Fourth Proportional to 11,005, 16,507.64 and 4,079.50

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Solution

The fourth proportional to 11,005, 16,507.64 and 4,079.50 is: 6,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005 : 16,507.64 = 4,079.50 : x
  2. Step 2: Convert to fraction form
    11,005/16,507.64 = 4,079.50/x
  3. Step 3: Cross multiply
    11,005x = 16,507.64 × 4,079.50
  4. Step 4: Simplify right side
    11,005x = 67,342,917.38
  5. Step 5: Solve for x
    x = 67,342,917.38/11,005
  6. Step 6: Final answer
    x = 6,119.30

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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.