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Finding the Fourth Proportional to 53,748.48, 74,181 and 38,691

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Solution

The fourth proportional to 53,748.48, 74,181 and 38,691 is: 53,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,748.48 : 74,181 = 38,691 : x
  2. Step 2: Convert to fraction form
    53,748.48/74,181 = 38,691/x
  3. Step 3: Cross multiply
    53,748.48x = 74,181 × 38,691
  4. Step 4: Simplify right side
    53,748.48x = 2,870,137,071
  5. Step 5: Solve for x
    x = 2,870,137,071/53,748.48
  6. Step 6: Final answer
    x = 53,399.41

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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.