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Finding the Fourth Proportional to 21,100.66, 31,655.25 and 9,413.88

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Solution

The fourth proportional to 21,100.66, 31,655.25 and 9,413.88 is: 14,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.66 : 31,655.25 = 9,413.88 : x
  2. Step 2: Convert to fraction form
    21,100.66/31,655.25 = 9,413.88/x
  3. Step 3: Cross multiply
    21,100.66x = 31,655.25 × 9,413.88
  4. Step 4: Simplify right side
    21,100.66x = 297,998,724.87
  5. Step 5: Solve for x
    x = 297,998,724.87/21,100.66
  6. Step 6: Final answer
    x = 14,122.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.