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Finding the Fourth Proportional to 1,906.40, 2,630.86 and 1,160.39

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Solution

The fourth proportional to 1,906.40, 2,630.86 and 1,160.39 is: 1,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.40 : 2,630.86 = 1,160.39 : x
  2. Step 2: Convert to fraction form
    1,906.40/2,630.86 = 1,160.39/x
  3. Step 3: Cross multiply
    1,906.40x = 2,630.86 × 1,160.39
  4. Step 4: Simplify right side
    1,906.40x = 3,052,823.64
  5. Step 5: Solve for x
    x = 3,052,823.64/1,906.40
  6. Step 6: Final answer
    x = 1,601.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.