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Finding the Fourth Proportional to 2,145.34, 3,217.20 and 913.33

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Solution

The fourth proportional to 2,145.34, 3,217.20 and 913.33 is: 1,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.34 : 3,217.20 = 913.33 : x
  2. Step 2: Convert to fraction form
    2,145.34/3,217.20 = 913.33/x
  3. Step 3: Cross multiply
    2,145.34x = 3,217.20 × 913.33
  4. Step 4: Simplify right side
    2,145.34x = 2,938,365.28
  5. Step 5: Solve for x
    x = 2,938,365.28/2,145.34
  6. Step 6: Final answer
    x = 1,369.65

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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.