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Finding the Fourth Proportional to 2,865.68, 3,954.56 and 1,670.94

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Solution

The fourth proportional to 2,865.68, 3,954.56 and 1,670.94 is: 2,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.68 : 3,954.56 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    2,865.68/3,954.56 = 1,670.94/x
  3. Step 3: Cross multiply
    2,865.68x = 3,954.56 × 1,670.94
  4. Step 4: Simplify right side
    2,865.68x = 6,607,832.49
  5. Step 5: Solve for x
    x = 6,607,832.49/2,865.68
  6. Step 6: Final answer
    x = 2,305.85

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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.