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Finding the Fourth Proportional to 20,009, 27,612.58 and 11,177

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Solution

The fourth proportional to 20,009, 27,612.58 and 11,177 is: 15,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 27,612.58 = 11,177 : x
  2. Step 2: Convert to fraction form
    20,009/27,612.58 = 11,177/x
  3. Step 3: Cross multiply
    20,009x = 27,612.58 × 11,177
  4. Step 4: Simplify right side
    20,009x = 308,625,806.66
  5. Step 5: Solve for x
    x = 308,625,806.66/20,009
  6. Step 6: Final answer
    x = 15,424.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.