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Finding the Fourth Proportional to 18,128, 27,195.90 and 5,647.76

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Solution

The fourth proportional to 18,128, 27,195.90 and 5,647.76 is: 8,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,128 : 27,195.90 = 5,647.76 : x
  2. Step 2: Convert to fraction form
    18,128/27,195.90 = 5,647.76/x
  3. Step 3: Cross multiply
    18,128x = 27,195.90 × 5,647.76
  4. Step 4: Simplify right side
    18,128x = 153,595,916.18
  5. Step 5: Solve for x
    x = 153,595,916.18/18,128
  6. Step 6: Final answer
    x = 8,472.86

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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.