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Finding the Fourth Proportional to 20,698.14, 31,056.30 and 6,847.14

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Solution

The fourth proportional to 20,698.14, 31,056.30 and 6,847.14 is: 10,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.14 : 31,056.30 = 6,847.14 : x
  2. Step 2: Convert to fraction form
    20,698.14/31,056.30 = 6,847.14/x
  3. Step 3: Cross multiply
    20,698.14x = 31,056.30 × 6,847.14
  4. Step 4: Simplify right side
    20,698.14x = 212,646,833.98
  5. Step 5: Solve for x
    x = 212,646,833.98/20,698.14
  6. Step 6: Final answer
    x = 10,273.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.