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Finding the Fourth Proportional to 4,692, 6,471.96 and 3,012.84

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Solution

The fourth proportional to 4,692, 6,471.96 and 3,012.84 is: 4,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692 : 6,471.96 = 3,012.84 : x
  2. Step 2: Convert to fraction form
    4,692/6,471.96 = 3,012.84/x
  3. Step 3: Cross multiply
    4,692x = 6,471.96 × 3,012.84
  4. Step 4: Simplify right side
    4,692x = 19,498,979.97
  5. Step 5: Solve for x
    x = 19,498,979.97/4,692
  6. Step 6: Final answer
    x = 4,155.79

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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.