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Finding the Fourth Proportional to 32,788, 45,231.24 and 20,683

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Solution

The fourth proportional to 32,788, 45,231.24 and 20,683 is: 28,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788 : 45,231.24 = 20,683 : x
  2. Step 2: Convert to fraction form
    32,788/45,231.24 = 20,683/x
  3. Step 3: Cross multiply
    32,788x = 45,231.24 × 20,683
  4. Step 4: Simplify right side
    32,788x = 935,517,736.92
  5. Step 5: Solve for x
    x = 935,517,736.92/32,788
  6. Step 6: Final answer
    x = 28,532.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.