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Finding the Fourth Proportional to 32,978.86, 49,427.66 and 18,759.26

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Solution

The fourth proportional to 32,978.86, 49,427.66 and 18,759.26 is: 28,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.86 : 49,427.66 = 18,759.26 : x
  2. Step 2: Convert to fraction form
    32,978.86/49,427.66 = 18,759.26/x
  3. Step 3: Cross multiply
    32,978.86x = 49,427.66 × 18,759.26
  4. Step 4: Simplify right side
    32,978.86x = 927,226,325.13
  5. Step 5: Solve for x
    x = 927,226,325.13/32,978.86
  6. Step 6: Final answer
    x = 28,115.78

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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.