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Finding the Fourth Proportional to 34,874, 48,132.60 and 19,970

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Solution

The fourth proportional to 34,874, 48,132.60 and 19,970 is: 27,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,874 : 48,132.60 = 19,970 : x
  2. Step 2: Convert to fraction form
    34,874/48,132.60 = 19,970/x
  3. Step 3: Cross multiply
    34,874x = 48,132.60 × 19,970
  4. Step 4: Simplify right side
    34,874x = 961,208,022
  5. Step 5: Solve for x
    x = 961,208,022/34,874
  6. Step 6: Final answer
    x = 27,562.31

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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.