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Finding the Fourth Proportional to 18,657.20, 27,985.89 and 4,806.20

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Solution

The fourth proportional to 18,657.20, 27,985.89 and 4,806.20 is: 7,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.20 : 27,985.89 = 4,806.20 : x
  2. Step 2: Convert to fraction form
    18,657.20/27,985.89 = 4,806.20/x
  3. Step 3: Cross multiply
    18,657.20x = 27,985.89 × 4,806.20
  4. Step 4: Simplify right side
    18,657.20x = 134,505,644.59
  5. Step 5: Solve for x
    x = 134,505,644.59/18,657.20
  6. Step 6: Final answer
    x = 7,209.32

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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.