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Finding the Fourth Proportional to 20,956.56, 31,434.84 and 7,101.84

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Solution

The fourth proportional to 20,956.56, 31,434.84 and 7,101.84 is: 10,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.56 : 31,434.84 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    20,956.56/31,434.84 = 7,101.84/x
  3. Step 3: Cross multiply
    20,956.56x = 31,434.84 × 7,101.84
  4. Step 4: Simplify right side
    20,956.56x = 223,245,204.11
  5. Step 5: Solve for x
    x = 223,245,204.11/20,956.56
  6. Step 6: Final answer
    x = 10,652.76

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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.