Home / 2,137.02-3,206.40-966.70

Finding the Fourth Proportional to 2,137.02, 3,206.40 and 966.70

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Solution

The fourth proportional to 2,137.02, 3,206.40 and 966.70 is: 1,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.02 : 3,206.40 = 966.70 : x
  2. Step 2: Convert to fraction form
    2,137.02/3,206.40 = 966.70/x
  3. Step 3: Cross multiply
    2,137.02x = 3,206.40 × 966.70
  4. Step 4: Simplify right side
    2,137.02x = 3,099,626.88
  5. Step 5: Solve for x
    x = 3,099,626.88/2,137.02
  6. Step 6: Final answer
    x = 1,450.44

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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.