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Finding the Fourth Proportional to 2,887.84, 3,984.60 and 1,825.96

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Solution

The fourth proportional to 2,887.84, 3,984.60 and 1,825.96 is: 2,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.84 : 3,984.60 = 1,825.96 : x
  2. Step 2: Convert to fraction form
    2,887.84/3,984.60 = 1,825.96/x
  3. Step 3: Cross multiply
    2,887.84x = 3,984.60 × 1,825.96
  4. Step 4: Simplify right side
    2,887.84x = 7,275,720.22
  5. Step 5: Solve for x
    x = 7,275,720.22/2,887.84
  6. Step 6: Final answer
    x = 2,519.43

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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.