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Finding the Fourth Proportional to 2,646.54, 3,969.81 and 2,129.49

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Solution

The fourth proportional to 2,646.54, 3,969.81 and 2,129.49 is: 3,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.54 : 3,969.81 = 2,129.49 : x
  2. Step 2: Convert to fraction form
    2,646.54/3,969.81 = 2,129.49/x
  3. Step 3: Cross multiply
    2,646.54x = 3,969.81 × 2,129.49
  4. Step 4: Simplify right side
    2,646.54x = 8,453,670.70
  5. Step 5: Solve for x
    x = 8,453,670.70/2,646.54
  6. Step 6: Final answer
    x = 3,194.24

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1.5x scale

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.