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Finding the Fourth Proportional to 3,411.82, 5,117.90 and 946.60

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Solution

The fourth proportional to 3,411.82, 5,117.90 and 946.60 is: 1,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.82 : 5,117.90 = 946.60 : x
  2. Step 2: Convert to fraction form
    3,411.82/5,117.90 = 946.60/x
  3. Step 3: Cross multiply
    3,411.82x = 5,117.90 × 946.60
  4. Step 4: Simplify right side
    3,411.82x = 4,844,604.14
  5. Step 5: Solve for x
    x = 4,844,604.14/3,411.82
  6. Step 6: Final answer
    x = 1,419.95

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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.