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Finding the Fourth Proportional to 20,967.03, 31,455.99 and 7,819.50

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Solution

The fourth proportional to 20,967.03, 31,455.99 and 7,819.50 is: 11,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.03 : 31,455.99 = 7,819.50 : x
  2. Step 2: Convert to fraction form
    20,967.03/31,455.99 = 7,819.50/x
  3. Step 3: Cross multiply
    20,967.03x = 31,455.99 × 7,819.50
  4. Step 4: Simplify right side
    20,967.03x = 245,970,113.81
  5. Step 5: Solve for x
    x = 245,970,113.81/20,967.03
  6. Step 6: Final answer
    x = 11,731.28

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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.