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Finding the Fourth Proportional to 2,641.50, 3,646.08 and 1,944.90

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Solution

The fourth proportional to 2,641.50, 3,646.08 and 1,944.90 is: 2,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.50 : 3,646.08 = 1,944.90 : x
  2. Step 2: Convert to fraction form
    2,641.50/3,646.08 = 1,944.90/x
  3. Step 3: Cross multiply
    2,641.50x = 3,646.08 × 1,944.90
  4. Step 4: Simplify right side
    2,641.50x = 7,091,260.99
  5. Step 5: Solve for x
    x = 7,091,260.99/2,641.50
  6. Step 6: Final answer
    x = 2,684.56

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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.