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Finding the Fourth Proportional to 3,430.71, 5,146.11 and 965.61

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Solution

The fourth proportional to 3,430.71, 5,146.11 and 965.61 is: 1,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.71 : 5,146.11 = 965.61 : x
  2. Step 2: Convert to fraction form
    3,430.71/5,146.11 = 965.61/x
  3. Step 3: Cross multiply
    3,430.71x = 5,146.11 × 965.61
  4. Step 4: Simplify right side
    3,430.71x = 4,969,135.28
  5. Step 5: Solve for x
    x = 4,969,135.28/3,430.71
  6. Step 6: Final answer
    x = 1,448.43

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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.