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Finding the Fourth Proportional to 21,067.79, 31,603.05 and 6,275.48

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Solution

The fourth proportional to 21,067.79, 31,603.05 and 6,275.48 is: 9,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067.79 : 31,603.05 = 6,275.48 : x
  2. Step 2: Convert to fraction form
    21,067.79/31,603.05 = 6,275.48/x
  3. Step 3: Cross multiply
    21,067.79x = 31,603.05 × 6,275.48
  4. Step 4: Simplify right side
    21,067.79x = 198,324,150.20
  5. Step 5: Solve for x
    x = 198,324,150.20/21,067.79
  6. Step 6: Final answer
    x = 9,413.62

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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.