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Finding the Fourth Proportional to 15,785.76, 21,784.50 and 8,712.03

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Solution

The fourth proportional to 15,785.76, 21,784.50 and 8,712.03 is: 12,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.76 : 21,784.50 = 8,712.03 : x
  2. Step 2: Convert to fraction form
    15,785.76/21,784.50 = 8,712.03/x
  3. Step 3: Cross multiply
    15,785.76x = 21,784.50 × 8,712.03
  4. Step 4: Simplify right side
    15,785.76x = 189,787,217.54
  5. Step 5: Solve for x
    x = 189,787,217.54/15,785.76
  6. Step 6: Final answer
    x = 12,022.68

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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.