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Finding the Fourth Proportional to 1,961.70, 2,683.16 and 1,913.10

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Solution

The fourth proportional to 1,961.70, 2,683.16 and 1,913.10 is: 2,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.70 : 2,683.16 = 1,913.10 : x
  2. Step 2: Convert to fraction form
    1,961.70/2,683.16 = 1,913.10/x
  3. Step 3: Cross multiply
    1,961.70x = 2,683.16 × 1,913.10
  4. Step 4: Simplify right side
    1,961.70x = 5,133,143.83
  5. Step 5: Solve for x
    x = 5,133,143.83/1,961.70
  6. Step 6: Final answer
    x = 2,616.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.