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Finding the Fourth Proportional to 2,638.77, 3,958.16 and 1,470.54

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Solution

The fourth proportional to 2,638.77, 3,958.16 and 1,470.54 is: 2,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.77 : 3,958.16 = 1,470.54 : x
  2. Step 2: Convert to fraction form
    2,638.77/3,958.16 = 1,470.54/x
  3. Step 3: Cross multiply
    2,638.77x = 3,958.16 × 1,470.54
  4. Step 4: Simplify right side
    2,638.77x = 5,820,625.25
  5. Step 5: Solve for x
    x = 5,820,625.25/2,638.77
  6. Step 6: Final answer
    x = 2,205.81

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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.