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Finding the Fourth Proportional to 38,376.80, 57,511.20 and 30,492.80

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Solution

The fourth proportional to 38,376.80, 57,511.20 and 30,492.80 is: 45,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.80 : 57,511.20 = 30,492.80 : x
  2. Step 2: Convert to fraction form
    38,376.80/57,511.20 = 30,492.80/x
  3. Step 3: Cross multiply
    38,376.80x = 57,511.20 × 30,492.80
  4. Step 4: Simplify right side
    38,376.80x = 1,753,677,519.36
  5. Step 5: Solve for x
    x = 1,753,677,519.36/38,376.80
  6. Step 6: Final answer
    x = 45,696.29

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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.