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Finding the Fourth Proportional to 1,941.62, 2,911.44 and 954.50

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Solution

The fourth proportional to 1,941.62, 2,911.44 and 954.50 is: 1,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.62 : 2,911.44 = 954.50 : x
  2. Step 2: Convert to fraction form
    1,941.62/2,911.44 = 954.50/x
  3. Step 3: Cross multiply
    1,941.62x = 2,911.44 × 954.50
  4. Step 4: Simplify right side
    1,941.62x = 2,778,969.48
  5. Step 5: Solve for x
    x = 2,778,969.48/1,941.62
  6. Step 6: Final answer
    x = 1,431.26

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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.