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Finding the Fourth Proportional to 28,343.60, 42,531.60 and 19,584.80

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Solution

The fourth proportional to 28,343.60, 42,531.60 and 19,584.80 is: 29,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,343.60 : 42,531.60 = 19,584.80 : x
  2. Step 2: Convert to fraction form
    28,343.60/42,531.60 = 19,584.80/x
  3. Step 3: Cross multiply
    28,343.60x = 42,531.60 × 19,584.80
  4. Step 4: Simplify right side
    28,343.60x = 832,972,879.68
  5. Step 5: Solve for x
    x = 832,972,879.68/28,343.60
  6. Step 6: Final answer
    x = 29,388.39

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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.