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Finding the Fourth Proportional to 15,178, 20,945.64 and 8,554

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Solution

The fourth proportional to 15,178, 20,945.64 and 8,554 is: 11,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178 : 20,945.64 = 8,554 : x
  2. Step 2: Convert to fraction form
    15,178/20,945.64 = 8,554/x
  3. Step 3: Cross multiply
    15,178x = 20,945.64 × 8,554
  4. Step 4: Simplify right side
    15,178x = 179,169,004.56
  5. Step 5: Solve for x
    x = 179,169,004.56/15,178
  6. Step 6: Final answer
    x = 11,804.52

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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.