Home / 2,137.06-3,205.05-966.40

Finding the Fourth Proportional to 2,137.06, 3,205.05 and 966.40

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Solution

The fourth proportional to 2,137.06, 3,205.05 and 966.40 is: 1,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.06 : 3,205.05 = 966.40 : x
  2. Step 2: Convert to fraction form
    2,137.06/3,205.05 = 966.40/x
  3. Step 3: Cross multiply
    2,137.06x = 3,205.05 × 966.40
  4. Step 4: Simplify right side
    2,137.06x = 3,097,360.32
  5. Step 5: Solve for x
    x = 3,097,360.32/2,137.06
  6. Step 6: Final answer
    x = 1,449.36

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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.