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Finding the Fourth Proportional to 19,669.50, 29,500.16 and 7,195.40

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Solution

The fourth proportional to 19,669.50, 29,500.16 and 7,195.40 is: 10,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.50 : 29,500.16 = 7,195.40 : x
  2. Step 2: Convert to fraction form
    19,669.50/29,500.16 = 7,195.40/x
  3. Step 3: Cross multiply
    19,669.50x = 29,500.16 × 7,195.40
  4. Step 4: Simplify right side
    19,669.50x = 212,265,451.26
  5. Step 5: Solve for x
    x = 212,265,451.26/19,669.50
  6. Step 6: Final answer
    x = 10,791.60

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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.