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Finding the Fourth Proportional to 20,734.71, 31,102.07 and 6,883.71

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Solution

The fourth proportional to 20,734.71, 31,102.07 and 6,883.71 is: 10,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734.71 : 31,102.07 = 6,883.71 : x
  2. Step 2: Convert to fraction form
    20,734.71/31,102.07 = 6,883.71/x
  3. Step 3: Cross multiply
    20,734.71x = 31,102.07 × 6,883.71
  4. Step 4: Simplify right side
    20,734.71x = 214,097,667.08
  5. Step 5: Solve for x
    x = 214,097,667.08/20,734.71
  6. Step 6: Final answer
    x = 10,325.57

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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.