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Finding the Fourth Proportional to 38,912, 53,800.96 and 37,171.20

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Solution

The fourth proportional to 38,912, 53,800.96 and 37,171.20 is: 51,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912 : 53,800.96 = 37,171.20 : x
  2. Step 2: Convert to fraction form
    38,912/53,800.96 = 37,171.20/x
  3. Step 3: Cross multiply
    38,912x = 53,800.96 × 37,171.20
  4. Step 4: Simplify right side
    38,912x = 1,999,846,244.35
  5. Step 5: Solve for x
    x = 1,999,846,244.35/38,912
  6. Step 6: Final answer
    x = 51,394.07

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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.