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Finding the Fourth Proportional to 38,696.20, 58,044.30 and 12,419.80

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Solution

The fourth proportional to 38,696.20, 58,044.30 and 12,419.80 is: 18,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.20 : 58,044.30 = 12,419.80 : x
  2. Step 2: Convert to fraction form
    38,696.20/58,044.30 = 12,419.80/x
  3. Step 3: Cross multiply
    38,696.20x = 58,044.30 × 12,419.80
  4. Step 4: Simplify right side
    38,696.20x = 720,898,597.14
  5. Step 5: Solve for x
    x = 720,898,597.14/38,696.20
  6. Step 6: Final answer
    x = 18,629.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.