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Finding the Fourth Proportional to 2,902.96, 4,005.92 and 1,723.28

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Solution

The fourth proportional to 2,902.96, 4,005.92 and 1,723.28 is: 2,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.96 : 4,005.92 = 1,723.28 : x
  2. Step 2: Convert to fraction form
    2,902.96/4,005.92 = 1,723.28/x
  3. Step 3: Cross multiply
    2,902.96x = 4,005.92 × 1,723.28
  4. Step 4: Simplify right side
    2,902.96x = 6,903,321.82
  5. Step 5: Solve for x
    x = 6,903,321.82/2,902.96
  6. Step 6: Final answer
    x = 2,378.03

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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.