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Finding the Fourth Proportional to 3,763.84, 5,181.12 and 3,259.48

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Solution

The fourth proportional to 3,763.84, 5,181.12 and 3,259.48 is: 4,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.84 : 5,181.12 = 3,259.48 : x
  2. Step 2: Convert to fraction form
    3,763.84/5,181.12 = 3,259.48/x
  3. Step 3: Cross multiply
    3,763.84x = 5,181.12 × 3,259.48
  4. Step 4: Simplify right side
    3,763.84x = 16,887,757.02
  5. Step 5: Solve for x
    x = 16,887,757.02/3,763.84
  6. Step 6: Final answer
    x = 4,486.84

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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.