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Finding the Fourth Proportional to 20,981, 31,471.50 and 6,389

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Solution

The fourth proportional to 20,981, 31,471.50 and 6,389 is: 9,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981 : 31,471.50 = 6,389 : x
  2. Step 2: Convert to fraction form
    20,981/31,471.50 = 6,389/x
  3. Step 3: Cross multiply
    20,981x = 31,471.50 × 6,389
  4. Step 4: Simplify right side
    20,981x = 201,071,413.50
  5. Step 5: Solve for x
    x = 201,071,413.50/20,981
  6. Step 6: Final answer
    x = 9,583.50

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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.