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Finding the Fourth Proportional to 18,657.98, 27,978.80 and 6,004.70

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Solution

The fourth proportional to 18,657.98, 27,978.80 and 6,004.70 is: 9,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.98 : 27,978.80 = 6,004.70 : x
  2. Step 2: Convert to fraction form
    18,657.98/27,978.80 = 6,004.70/x
  3. Step 3: Cross multiply
    18,657.98x = 27,978.80 × 6,004.70
  4. Step 4: Simplify right side
    18,657.98x = 168,004,130.44
  5. Step 5: Solve for x
    x = 168,004,130.44/18,657.98
  6. Step 6: Final answer
    x = 9,004.41

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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.