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Finding the Fourth Proportional to 3,160.84, 4,362.74 and 1,919.88

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Solution

The fourth proportional to 3,160.84, 4,362.74 and 1,919.88 is: 2,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.84 : 4,362.74 = 1,919.88 : x
  2. Step 2: Convert to fraction form
    3,160.84/4,362.74 = 1,919.88/x
  3. Step 3: Cross multiply
    3,160.84x = 4,362.74 × 1,919.88
  4. Step 4: Simplify right side
    3,160.84x = 8,375,937.27
  5. Step 5: Solve for x
    x = 8,375,937.27/3,160.84
  6. Step 6: Final answer
    x = 2,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.