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Finding the Fourth Proportional to 20,969.32, 31,413.96 and 20,266

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Solution

The fourth proportional to 20,969.32, 31,413.96 and 20,266 is: 30,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.32 : 31,413.96 = 20,266 : x
  2. Step 2: Convert to fraction form
    20,969.32/31,413.96 = 20,266/x
  3. Step 3: Cross multiply
    20,969.32x = 31,413.96 × 20,266
  4. Step 4: Simplify right side
    20,969.32x = 636,635,313.36
  5. Step 5: Solve for x
    x = 636,635,313.36/20,969.32
  6. Step 6: Final answer
    x = 30,360.32

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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.