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Finding the Fourth Proportional to 11,109, 16,650.54 and 6,176.28

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Solution

The fourth proportional to 11,109, 16,650.54 and 6,176.28 is: 9,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109 : 16,650.54 = 6,176.28 : x
  2. Step 2: Convert to fraction form
    11,109/16,650.54 = 6,176.28/x
  3. Step 3: Cross multiply
    11,109x = 16,650.54 × 6,176.28
  4. Step 4: Simplify right side
    11,109x = 102,838,397.19
  5. Step 5: Solve for x
    x = 102,838,397.19/11,109
  6. Step 6: Final answer
    x = 9,257.21

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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.