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Finding the Fourth Proportional to 17,985.56, 26,978.60 and 6,892.81

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Solution

The fourth proportional to 17,985.56, 26,978.60 and 6,892.81 is: 10,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.56 : 26,978.60 = 6,892.81 : x
  2. Step 2: Convert to fraction form
    17,985.56/26,978.60 = 6,892.81/x
  3. Step 3: Cross multiply
    17,985.56x = 26,978.60 × 6,892.81
  4. Step 4: Simplify right side
    17,985.56x = 185,958,363.87
  5. Step 5: Solve for x
    x = 185,958,363.87/17,985.56
  6. Step 6: Final answer
    x = 10,339.31

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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.