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Finding the Fourth Proportional to 2,912.92, 4,019.88 and 1,653.96

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Solution

The fourth proportional to 2,912.92, 4,019.88 and 1,653.96 is: 2,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.92 : 4,019.88 = 1,653.96 : x
  2. Step 2: Convert to fraction form
    2,912.92/4,019.88 = 1,653.96/x
  3. Step 3: Cross multiply
    2,912.92x = 4,019.88 × 1,653.96
  4. Step 4: Simplify right side
    2,912.92x = 6,648,720.72
  5. Step 5: Solve for x
    x = 6,648,720.72/2,912.92
  6. Step 6: Final answer
    x = 2,282.49

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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.