Home / 1,966.08-2,961.48-1,664.76

Finding the Fourth Proportional to 1,966.08, 2,961.48 and 1,664.76

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Solution

The fourth proportional to 1,966.08, 2,961.48 and 1,664.76 is: 2,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.08 : 2,961.48 = 1,664.76 : x
  2. Step 2: Convert to fraction form
    1,966.08/2,961.48 = 1,664.76/x
  3. Step 3: Cross multiply
    1,966.08x = 2,961.48 × 1,664.76
  4. Step 4: Simplify right side
    1,966.08x = 4,930,153.44
  5. Step 5: Solve for x
    x = 4,930,153.44/1,966.08
  6. Step 6: Final answer
    x = 2,507.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.