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Finding the Fourth Proportional to 3,625.84, 5,003.68 and 1,969.84

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Solution

The fourth proportional to 3,625.84, 5,003.68 and 1,969.84 is: 2,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.84 : 5,003.68 = 1,969.84 : x
  2. Step 2: Convert to fraction form
    3,625.84/5,003.68 = 1,969.84/x
  3. Step 3: Cross multiply
    3,625.84x = 5,003.68 × 1,969.84
  4. Step 4: Simplify right side
    3,625.84x = 9,856,449.01
  5. Step 5: Solve for x
    x = 9,856,449.01/3,625.84
  6. Step 6: Final answer
    x = 2,718.39

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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.