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Finding the Fourth Proportional to 2,163, 3,245.28 and 1,297.92

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Solution

The fourth proportional to 2,163, 3,245.28 and 1,297.92 is: 1,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 3,245.28 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    2,163/3,245.28 = 1,297.92/x
  3. Step 3: Cross multiply
    2,163x = 3,245.28 × 1,297.92
  4. Step 4: Simplify right side
    2,163x = 4,212,113.82
  5. Step 5: Solve for x
    x = 4,212,113.82/2,163
  6. Step 6: Final answer
    x = 1,947.35

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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.