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Finding the Fourth Proportional to 3,430.67, 5,145.89 and 965.43

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Solution

The fourth proportional to 3,430.67, 5,145.89 and 965.43 is: 1,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.67 : 5,145.89 = 965.43 : x
  2. Step 2: Convert to fraction form
    3,430.67/5,145.89 = 965.43/x
  3. Step 3: Cross multiply
    3,430.67x = 5,145.89 × 965.43
  4. Step 4: Simplify right side
    3,430.67x = 4,967,991.76
  5. Step 5: Solve for x
    x = 4,967,991.76/3,430.67
  6. Step 6: Final answer
    x = 1,448.11

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Why These Related Problems?

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