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Finding the Fourth Proportional to 21,857.80, 32,788.30 and 6,275.56

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Solution

The fourth proportional to 21,857.80, 32,788.30 and 6,275.56 is: 9,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.80 : 32,788.30 = 6,275.56 : x
  2. Step 2: Convert to fraction form
    21,857.80/32,788.30 = 6,275.56/x
  3. Step 3: Cross multiply
    21,857.80x = 32,788.30 × 6,275.56
  4. Step 4: Simplify right side
    21,857.80x = 205,764,943.95
  5. Step 5: Solve for x
    x = 205,764,943.95/21,857.80
  6. Step 6: Final answer
    x = 9,413.80

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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.