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Finding the Fourth Proportional to 20,953.50, 31,434.11 and 6,914.50

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Solution

The fourth proportional to 20,953.50, 31,434.11 and 6,914.50 is: 10,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.50 : 31,434.11 = 6,914.50 : x
  2. Step 2: Convert to fraction form
    20,953.50/31,434.11 = 6,914.50/x
  3. Step 3: Cross multiply
    20,953.50x = 31,434.11 × 6,914.50
  4. Step 4: Simplify right side
    20,953.50x = 217,351,153.60
  5. Step 5: Solve for x
    x = 217,351,153.60/20,953.50
  6. Step 6: Final answer
    x = 10,373.02

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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.