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Finding the Fourth Proportional to 20,856.24, 31,286.72 and 20,856.24

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Solution

The fourth proportional to 20,856.24, 31,286.72 and 20,856.24 is: 31,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.24 : 31,286.72 = 20,856.24 : x
  2. Step 2: Convert to fraction form
    20,856.24/31,286.72 = 20,856.24/x
  3. Step 3: Cross multiply
    20,856.24x = 31,286.72 × 20,856.24
  4. Step 4: Simplify right side
    20,856.24x = 652,523,341.13
  5. Step 5: Solve for x
    x = 652,523,341.13/20,856.24
  6. Step 6: Final answer
    x = 31,286.72

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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.