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Finding the Fourth Proportional to 3,504.60, 5,256.75 and 872.05

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Solution

The fourth proportional to 3,504.60, 5,256.75 and 872.05 is: 1,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.60 : 5,256.75 = 872.05 : x
  2. Step 2: Convert to fraction form
    3,504.60/5,256.75 = 872.05/x
  3. Step 3: Cross multiply
    3,504.60x = 5,256.75 × 872.05
  4. Step 4: Simplify right side
    3,504.60x = 4,584,148.84
  5. Step 5: Solve for x
    x = 4,584,148.84/3,504.60
  6. Step 6: Final answer
    x = 1,308.04

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1.5x scale

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.