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Finding the Fourth Proportional to 18,139.50, 27,205.60 and 5,657.50

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Solution

The fourth proportional to 18,139.50, 27,205.60 and 5,657.50 is: 8,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,139.50 : 27,205.60 = 5,657.50 : x
  2. Step 2: Convert to fraction form
    18,139.50/27,205.60 = 5,657.50/x
  3. Step 3: Cross multiply
    18,139.50x = 27,205.60 × 5,657.50
  4. Step 4: Simplify right side
    18,139.50x = 153,915,682
  5. Step 5: Solve for x
    x = 153,915,682/18,139.50
  6. Step 6: Final answer
    x = 8,485.11

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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.