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Finding the Fourth Proportional to 20,313, 30,455.62 and 10,826.74

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Solution

The fourth proportional to 20,313, 30,455.62 and 10,826.74 is: 16,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313 : 30,455.62 = 10,826.74 : x
  2. Step 2: Convert to fraction form
    20,313/30,455.62 = 10,826.74/x
  3. Step 3: Cross multiply
    20,313x = 30,455.62 × 10,826.74
  4. Step 4: Simplify right side
    20,313x = 329,735,079.28
  5. Step 5: Solve for x
    x = 329,735,079.28/20,313
  6. Step 6: Final answer
    x = 16,232.71

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1.5x scale

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.