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Finding the Fourth Proportional to 2,954.77, 4,431.81 and 979.92

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Solution

The fourth proportional to 2,954.77, 4,431.81 and 979.92 is: 1,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.77 : 4,431.81 = 979.92 : x
  2. Step 2: Convert to fraction form
    2,954.77/4,431.81 = 979.92/x
  3. Step 3: Cross multiply
    2,954.77x = 4,431.81 × 979.92
  4. Step 4: Simplify right side
    2,954.77x = 4,342,822.93
  5. Step 5: Solve for x
    x = 4,342,822.93/2,954.77
  6. Step 6: Final answer
    x = 1,469.77

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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.