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Finding the Fourth Proportional to 11,005.20, 16,515 and 6,078.24

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Solution

The fourth proportional to 11,005.20, 16,515 and 6,078.24 is: 9,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.20 : 16,515 = 6,078.24 : x
  2. Step 2: Convert to fraction form
    11,005.20/16,515 = 6,078.24/x
  3. Step 3: Cross multiply
    11,005.20x = 16,515 × 6,078.24
  4. Step 4: Simplify right side
    11,005.20x = 100,382,133.60
  5. Step 5: Solve for x
    x = 100,382,133.60/11,005.20
  6. Step 6: Final answer
    x = 9,121.34

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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.