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Finding the Fourth Proportional to 2,087.64, 2,881.17 and 1,203.42

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Solution

The fourth proportional to 2,087.64, 2,881.17 and 1,203.42 is: 1,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.64 : 2,881.17 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    2,087.64/2,881.17 = 1,203.42/x
  3. Step 3: Cross multiply
    2,087.64x = 2,881.17 × 1,203.42
  4. Step 4: Simplify right side
    2,087.64x = 3,467,257.60
  5. Step 5: Solve for x
    x = 3,467,257.60/2,087.64
  6. Step 6: Final answer
    x = 1,660.85

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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.