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Finding the Fourth Proportional to 20,870, 28,800.60 and 11,438.92

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Solution

The fourth proportional to 20,870, 28,800.60 and 11,438.92 is: 15,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870 : 28,800.60 = 11,438.92 : x
  2. Step 2: Convert to fraction form
    20,870/28,800.60 = 11,438.92/x
  3. Step 3: Cross multiply
    20,870x = 28,800.60 × 11,438.92
  4. Step 4: Simplify right side
    20,870x = 329,447,759.35
  5. Step 5: Solve for x
    x = 329,447,759.35/20,870
  6. Step 6: Final answer
    x = 15,785.71

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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.