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Finding the Fourth Proportional to 43,696.80, 65,428.56 and 38,448

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Solution

The fourth proportional to 43,696.80, 65,428.56 and 38,448 is: 57,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696.80 : 65,428.56 = 38,448 : x
  2. Step 2: Convert to fraction form
    43,696.80/65,428.56 = 38,448/x
  3. Step 3: Cross multiply
    43,696.80x = 65,428.56 × 38,448
  4. Step 4: Simplify right side
    43,696.80x = 2,515,597,274.88
  5. Step 5: Solve for x
    x = 2,515,597,274.88/43,696.80
  6. Step 6: Final answer
    x = 57,569.37

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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.