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Finding the Fourth Proportional to 2,170.56, 3,255.84 and 631.56

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Solution

The fourth proportional to 2,170.56, 3,255.84 and 631.56 is: 947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.56 : 3,255.84 = 631.56 : x
  2. Step 2: Convert to fraction form
    2,170.56/3,255.84 = 631.56/x
  3. Step 3: Cross multiply
    2,170.56x = 3,255.84 × 631.56
  4. Step 4: Simplify right side
    2,170.56x = 2,056,258.31
  5. Step 5: Solve for x
    x = 2,056,258.31/2,170.56
  6. Step 6: Final answer
    x = 947.34

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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.