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Finding the Fourth Proportional to 11,121.64, 16,665.18 and 7,009

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Solution

The fourth proportional to 11,121.64, 16,665.18 and 7,009 is: 10,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.64 : 16,665.18 = 7,009 : x
  2. Step 2: Convert to fraction form
    11,121.64/16,665.18 = 7,009/x
  3. Step 3: Cross multiply
    11,121.64x = 16,665.18 × 7,009
  4. Step 4: Simplify right side
    11,121.64x = 116,806,246.62
  5. Step 5: Solve for x
    x = 116,806,246.62/11,121.64
  6. Step 6: Final answer
    x = 10,502.61

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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.