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Finding the Fourth Proportional to 20,806.87, 28,712 and 11,852.73

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Solution

The fourth proportional to 20,806.87, 28,712 and 11,852.73 is: 16,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.87 : 28,712 = 11,852.73 : x
  2. Step 2: Convert to fraction form
    20,806.87/28,712 = 11,852.73/x
  3. Step 3: Cross multiply
    20,806.87x = 28,712 × 11,852.73
  4. Step 4: Simplify right side
    20,806.87x = 340,315,583.76
  5. Step 5: Solve for x
    x = 340,315,583.76/20,806.87
  6. Step 6: Final answer
    x = 16,355.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.