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Finding the Fourth Proportional to 20,710.56, 31,062 and 6,857.76

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Solution

The fourth proportional to 20,710.56, 31,062 and 6,857.76 is: 10,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.56 : 31,062 = 6,857.76 : x
  2. Step 2: Convert to fraction form
    20,710.56/31,062 = 6,857.76/x
  3. Step 3: Cross multiply
    20,710.56x = 31,062 × 6,857.76
  4. Step 4: Simplify right side
    20,710.56x = 213,015,741.12
  5. Step 5: Solve for x
    x = 213,015,741.12/20,710.56
  6. Step 6: Final answer
    x = 10,285.37

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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.