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Finding the Fourth Proportional to 3,512.70, 5,267.70 and 1,320.24

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Solution

The fourth proportional to 3,512.70, 5,267.70 and 1,320.24 is: 1,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.70 : 5,267.70 = 1,320.24 : x
  2. Step 2: Convert to fraction form
    3,512.70/5,267.70 = 1,320.24/x
  3. Step 3: Cross multiply
    3,512.70x = 5,267.70 × 1,320.24
  4. Step 4: Simplify right side
    3,512.70x = 6,954,628.25
  5. Step 5: Solve for x
    x = 6,954,628.25/3,512.70
  6. Step 6: Final answer
    x = 1,979.85

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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.