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Finding the Fourth Proportional to 20,814.78, 31,203.06 and 7,657.14

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Solution

The fourth proportional to 20,814.78, 31,203.06 and 7,657.14 is: 11,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.78 : 31,203.06 = 7,657.14 : x
  2. Step 2: Convert to fraction form
    20,814.78/31,203.06 = 7,657.14/x
  3. Step 3: Cross multiply
    20,814.78x = 31,203.06 × 7,657.14
  4. Step 4: Simplify right side
    20,814.78x = 238,926,198.85
  5. Step 5: Solve for x
    x = 238,926,198.85/20,814.78
  6. Step 6: Final answer
    x = 11,478.68

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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.